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Finding the Fourth Proportional to 1,425.47, 2,139.48 and 1,059.12

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Solution

The fourth proportional to 1,425.47, 2,139.48 and 1,059.12 is: 1,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.47 : 2,139.48 = 1,059.12 : x
  2. Step 2: Convert to fraction form
    1,425.47/2,139.48 = 1,059.12/x
  3. Step 3: Cross multiply
    1,425.47x = 2,139.48 × 1,059.12
  4. Step 4: Simplify right side
    1,425.47x = 2,265,966.06
  5. Step 5: Solve for x
    x = 2,265,966.06/1,425.47
  6. Step 6: Final answer
    x = 1,589.63

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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.