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Finding the Fourth Proportional to 3,058.73, 4,221.14 and 1,732.40

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Solution

The fourth proportional to 3,058.73, 4,221.14 and 1,732.40 is: 2,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.73 : 4,221.14 = 1,732.40 : x
  2. Step 2: Convert to fraction form
    3,058.73/4,221.14 = 1,732.40/x
  3. Step 3: Cross multiply
    3,058.73x = 4,221.14 × 1,732.40
  4. Step 4: Simplify right side
    3,058.73x = 7,312,673.17
  5. Step 5: Solve for x
    x = 7,312,673.17/3,058.73
  6. Step 6: Final answer
    x = 2,390.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.