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Finding the Fourth Proportional to 1,752.31, 2,419.14 and 1,279.72

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Solution

The fourth proportional to 1,752.31, 2,419.14 and 1,279.72 is: 1,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.31 : 2,419.14 = 1,279.72 : x
  2. Step 2: Convert to fraction form
    1,752.31/2,419.14 = 1,279.72/x
  3. Step 3: Cross multiply
    1,752.31x = 2,419.14 × 1,279.72
  4. Step 4: Simplify right side
    1,752.31x = 3,095,821.84
  5. Step 5: Solve for x
    x = 3,095,821.84/1,752.31
  6. Step 6: Final answer
    x = 1,766.71

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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.