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Finding the Fourth Proportional to 2,267.06, 3,129.65 and 1,761.72

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Solution

The fourth proportional to 2,267.06, 3,129.65 and 1,761.72 is: 2,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.06 : 3,129.65 = 1,761.72 : x
  2. Step 2: Convert to fraction form
    2,267.06/3,129.65 = 1,761.72/x
  3. Step 3: Cross multiply
    2,267.06x = 3,129.65 × 1,761.72
  4. Step 4: Simplify right side
    2,267.06x = 5,513,564.80
  5. Step 5: Solve for x
    x = 5,513,564.80/2,267.06
  6. Step 6: Final answer
    x = 2,432.03

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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.