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Finding the Fourth Proportional to 1,436.54, 2,153.79 and 614.39

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Solution

The fourth proportional to 1,436.54, 2,153.79 and 614.39 is: 921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.54 : 2,153.79 = 614.39 : x
  2. Step 2: Convert to fraction form
    1,436.54/2,153.79 = 614.39/x
  3. Step 3: Cross multiply
    1,436.54x = 2,153.79 × 614.39
  4. Step 4: Simplify right side
    1,436.54x = 1,323,256.27
  5. Step 5: Solve for x
    x = 1,323,256.27/1,436.54
  6. Step 6: Final answer
    x = 921.14

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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.