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Finding the Fourth Proportional to 1,491.12, 2,234.84 and 669.38

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Solution

The fourth proportional to 1,491.12, 2,234.84 and 669.38 is: 1,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.12 : 2,234.84 = 669.38 : x
  2. Step 2: Convert to fraction form
    1,491.12/2,234.84 = 669.38/x
  3. Step 3: Cross multiply
    1,491.12x = 2,234.84 × 669.38
  4. Step 4: Simplify right side
    1,491.12x = 1,495,957.20
  5. Step 5: Solve for x
    x = 1,495,957.20/1,491.12
  6. Step 6: Final answer
    x = 1,003.24

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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.