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Finding the Fourth Proportional to 1,643.14, 2,267.78 and 980.02

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Solution

The fourth proportional to 1,643.14, 2,267.78 and 980.02 is: 1,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.14 : 2,267.78 = 980.02 : x
  2. Step 2: Convert to fraction form
    1,643.14/2,267.78 = 980.02/x
  3. Step 3: Cross multiply
    1,643.14x = 2,267.78 × 980.02
  4. Step 4: Simplify right side
    1,643.14x = 2,222,469.76
  5. Step 5: Solve for x
    x = 2,222,469.76/1,643.14
  6. Step 6: Final answer
    x = 1,352.57

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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.