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Finding the Fourth Proportional to 2,157.20, 3,234.45 and 924.29

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Solution

The fourth proportional to 2,157.20, 3,234.45 and 924.29 is: 1,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.20 : 3,234.45 = 924.29 : x
  2. Step 2: Convert to fraction form
    2,157.20/3,234.45 = 924.29/x
  3. Step 3: Cross multiply
    2,157.20x = 3,234.45 × 924.29
  4. Step 4: Simplify right side
    2,157.20x = 2,989,569.79
  5. Step 5: Solve for x
    x = 2,989,569.79/2,157.20
  6. Step 6: Final answer
    x = 1,385.86

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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.