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Finding the Fourth Proportional to 1,375.74, 1,900.17 and 1,002.12

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Solution

The fourth proportional to 1,375.74, 1,900.17 and 1,002.12 is: 1,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.74 : 1,900.17 = 1,002.12 : x
  2. Step 2: Convert to fraction form
    1,375.74/1,900.17 = 1,002.12/x
  3. Step 3: Cross multiply
    1,375.74x = 1,900.17 × 1,002.12
  4. Step 4: Simplify right side
    1,375.74x = 1,904,198.36
  5. Step 5: Solve for x
    x = 1,904,198.36/1,375.74
  6. Step 6: Final answer
    x = 1,384.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.