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Finding the Fourth Proportional to 2,877.27, 4,314.97 and 929.02

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Solution

The fourth proportional to 2,877.27, 4,314.97 and 929.02 is: 1,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.27 : 4,314.97 = 929.02 : x
  2. Step 2: Convert to fraction form
    2,877.27/4,314.97 = 929.02/x
  3. Step 3: Cross multiply
    2,877.27x = 4,314.97 × 929.02
  4. Step 4: Simplify right side
    2,877.27x = 4,008,680.32
  5. Step 5: Solve for x
    x = 4,008,680.32/2,877.27
  6. Step 6: Final answer
    x = 1,393.22

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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.