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Finding the Fourth Proportional to 1,617.61, 2,231.51 and 1,058.10

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Solution

The fourth proportional to 1,617.61, 2,231.51 and 1,058.10 is: 1,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.61 : 2,231.51 = 1,058.10 : x
  2. Step 2: Convert to fraction form
    1,617.61/2,231.51 = 1,058.10/x
  3. Step 3: Cross multiply
    1,617.61x = 2,231.51 × 1,058.10
  4. Step 4: Simplify right side
    1,617.61x = 2,361,160.73
  5. Step 5: Solve for x
    x = 2,361,160.73/1,617.61
  6. Step 6: Final answer
    x = 1,459.66

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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.