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Finding the Fourth Proportional to 1,626.24, 2,244.51 and 963.45

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Solution

The fourth proportional to 1,626.24, 2,244.51 and 963.45 is: 1,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.24 : 2,244.51 = 963.45 : x
  2. Step 2: Convert to fraction form
    1,626.24/2,244.51 = 963.45/x
  3. Step 3: Cross multiply
    1,626.24x = 2,244.51 × 963.45
  4. Step 4: Simplify right side
    1,626.24x = 2,162,473.16
  5. Step 5: Solve for x
    x = 2,162,473.16/1,626.24
  6. Step 6: Final answer
    x = 1,329.74

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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.