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Finding the Fourth Proportional to 1,459, 2,013.22 and 1,060.89

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Solution

The fourth proportional to 1,459, 2,013.22 and 1,060.89 is: 1,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459 : 2,013.22 = 1,060.89 : x
  2. Step 2: Convert to fraction form
    1,459/2,013.22 = 1,060.89/x
  3. Step 3: Cross multiply
    1,459x = 2,013.22 × 1,060.89
  4. Step 4: Simplify right side
    1,459x = 2,135,804.97
  5. Step 5: Solve for x
    x = 2,135,804.97/1,459
  6. Step 6: Final answer
    x = 1,463.88

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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.