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Finding the Fourth Proportional to 2,765.47, 4,141.14 and 1,531.51

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Solution

The fourth proportional to 2,765.47, 4,141.14 and 1,531.51 is: 2,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.47 : 4,141.14 = 1,531.51 : x
  2. Step 2: Convert to fraction form
    2,765.47/4,141.14 = 1,531.51/x
  3. Step 3: Cross multiply
    2,765.47x = 4,141.14 × 1,531.51
  4. Step 4: Simplify right side
    2,765.47x = 6,342,197.32
  5. Step 5: Solve for x
    x = 6,342,197.32/2,765.47
  6. Step 6: Final answer
    x = 2,293.35

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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.