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Finding the Fourth Proportional to 1,375.17, 2,057.51 and 1,209.32

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Solution

The fourth proportional to 1,375.17, 2,057.51 and 1,209.32 is: 1,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.17 : 2,057.51 = 1,209.32 : x
  2. Step 2: Convert to fraction form
    1,375.17/2,057.51 = 1,209.32/x
  3. Step 3: Cross multiply
    1,375.17x = 2,057.51 × 1,209.32
  4. Step 4: Simplify right side
    1,375.17x = 2,488,196.16
  5. Step 5: Solve for x
    x = 2,488,196.16/1,375.17
  6. Step 6: Final answer
    x = 1,809.37

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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.