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Finding the Fourth Proportional to 1,653.87, 2,480 and 614.36

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Solution

The fourth proportional to 1,653.87, 2,480 and 614.36 is: 921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.87 : 2,480 = 614.36 : x
  2. Step 2: Convert to fraction form
    1,653.87/2,480 = 614.36/x
  3. Step 3: Cross multiply
    1,653.87x = 2,480 × 614.36
  4. Step 4: Simplify right side
    1,653.87x = 1,523,612.80
  5. Step 5: Solve for x
    x = 1,523,612.80/1,653.87
  6. Step 6: Final answer
    x = 921.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.