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Finding the Fourth Proportional to 2,507.68, 3,761.88 and 1,047.12

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Solution

The fourth proportional to 2,507.68, 3,761.88 and 1,047.12 is: 1,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.68 : 3,761.88 = 1,047.12 : x
  2. Step 2: Convert to fraction form
    2,507.68/3,761.88 = 1,047.12/x
  3. Step 3: Cross multiply
    2,507.68x = 3,761.88 × 1,047.12
  4. Step 4: Simplify right side
    2,507.68x = 3,939,139.79
  5. Step 5: Solve for x
    x = 3,939,139.79/2,507.68
  6. Step 6: Final answer
    x = 1,570.83

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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.