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Finding the Fourth Proportional to 1,643.42, 2,267.93 and 944.75

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Solution

The fourth proportional to 1,643.42, 2,267.93 and 944.75 is: 1,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.42 : 2,267.93 = 944.75 : x
  2. Step 2: Convert to fraction form
    1,643.42/2,267.93 = 944.75/x
  3. Step 3: Cross multiply
    1,643.42x = 2,267.93 × 944.75
  4. Step 4: Simplify right side
    1,643.42x = 2,142,626.87
  5. Step 5: Solve for x
    x = 2,142,626.87/1,643.42
  6. Step 6: Final answer
    x = 1,303.76

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.