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Finding the Fourth Proportional to 2,753.83, 4,126.68 and 2,170.24

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Solution

The fourth proportional to 2,753.83, 4,126.68 and 2,170.24 is: 3,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.83 : 4,126.68 = 2,170.24 : x
  2. Step 2: Convert to fraction form
    2,753.83/4,126.68 = 2,170.24/x
  3. Step 3: Cross multiply
    2,753.83x = 4,126.68 × 2,170.24
  4. Step 4: Simplify right side
    2,753.83x = 8,955,886.00
  5. Step 5: Solve for x
    x = 8,955,886.00/2,753.83
  6. Step 6: Final answer
    x = 3,252.16

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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.