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Finding the Fourth Proportional to 3,058.34, 4,220.64 and 1,731.86

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Solution

The fourth proportional to 3,058.34, 4,220.64 and 1,731.86 is: 2,390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.34 : 4,220.64 = 1,731.86 : x
  2. Step 2: Convert to fraction form
    3,058.34/4,220.64 = 1,731.86/x
  3. Step 3: Cross multiply
    3,058.34x = 4,220.64 × 1,731.86
  4. Step 4: Simplify right side
    3,058.34x = 7,309,557.59
  5. Step 5: Solve for x
    x = 7,309,557.59/3,058.34
  6. Step 6: Final answer
    x = 2,390.04

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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.