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Finding the Fourth Proportional to 1,437.09, 2,155.71 and 614.79

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Solution

The fourth proportional to 1,437.09, 2,155.71 and 614.79 is: 922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.09 : 2,155.71 = 614.79 : x
  2. Step 2: Convert to fraction form
    1,437.09/2,155.71 = 614.79/x
  3. Step 3: Cross multiply
    1,437.09x = 2,155.71 × 614.79
  4. Step 4: Simplify right side
    1,437.09x = 1,325,308.95
  5. Step 5: Solve for x
    x = 1,325,308.95/1,437.09
  6. Step 6: Final answer
    x = 922.22

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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.