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Finding the Fourth Proportional to 2,877.52, 4,316.34 and 929.92

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Solution

The fourth proportional to 2,877.52, 4,316.34 and 929.92 is: 1,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.52 : 4,316.34 = 929.92 : x
  2. Step 2: Convert to fraction form
    2,877.52/4,316.34 = 929.92/x
  3. Step 3: Cross multiply
    2,877.52x = 4,316.34 × 929.92
  4. Step 4: Simplify right side
    2,877.52x = 4,013,850.89
  5. Step 5: Solve for x
    x = 4,013,850.89/2,877.52
  6. Step 6: Final answer
    x = 1,394.90

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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.