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Finding the Fourth Proportional to 2,877.22, 4,315.92 and 929.44

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Solution

The fourth proportional to 2,877.22, 4,315.92 and 929.44 is: 1,394.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.22 : 4,315.92 = 929.44 : x
  2. Step 2: Convert to fraction form
    2,877.22/4,315.92 = 929.44/x
  3. Step 3: Cross multiply
    2,877.22x = 4,315.92 × 929.44
  4. Step 4: Simplify right side
    2,877.22x = 4,011,388.68
  5. Step 5: Solve for x
    x = 4,011,388.68/2,877.22
  6. Step 6: Final answer
    x = 1,394.19

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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.