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Finding the Fourth Proportional to 1,312.38, 1,965.96 and 1,001.91

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Solution

The fourth proportional to 1,312.38, 1,965.96 and 1,001.91 is: 1,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.38 : 1,965.96 = 1,001.91 : x
  2. Step 2: Convert to fraction form
    1,312.38/1,965.96 = 1,001.91/x
  3. Step 3: Cross multiply
    1,312.38x = 1,965.96 × 1,001.91
  4. Step 4: Simplify right side
    1,312.38x = 1,969,714.98
  5. Step 5: Solve for x
    x = 1,969,714.98/1,312.38
  6. Step 6: Final answer
    x = 1,500.87

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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.