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Finding the Fourth Proportional to 2,761.47, 4,135.14 and 1,527.51

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Solution

The fourth proportional to 2,761.47, 4,135.14 and 1,527.51 is: 2,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.47 : 4,135.14 = 1,527.51 : x
  2. Step 2: Convert to fraction form
    2,761.47/4,135.14 = 1,527.51/x
  3. Step 3: Cross multiply
    2,761.47x = 4,135.14 × 1,527.51
  4. Step 4: Simplify right side
    2,761.47x = 6,316,467.70
  5. Step 5: Solve for x
    x = 6,316,467.70/2,761.47
  6. Step 6: Final answer
    x = 2,287.36

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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.