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Finding the Fourth Proportional to 1,616.87, 2,232.13 and 1,088.53

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Solution

The fourth proportional to 1,616.87, 2,232.13 and 1,088.53 is: 1,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.87 : 2,232.13 = 1,088.53 : x
  2. Step 2: Convert to fraction form
    1,616.87/2,232.13 = 1,088.53/x
  3. Step 3: Cross multiply
    1,616.87x = 2,232.13 × 1,088.53
  4. Step 4: Simplify right side
    1,616.87x = 2,429,735.03
  5. Step 5: Solve for x
    x = 2,429,735.03/1,616.87
  6. Step 6: Final answer
    x = 1,502.74

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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.