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Finding the Fourth Proportional to 1,459.13, 2,013.24 and 891.82

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Solution

The fourth proportional to 1,459.13, 2,013.24 and 891.82 is: 1,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.13 : 2,013.24 = 891.82 : x
  2. Step 2: Convert to fraction form
    1,459.13/2,013.24 = 891.82/x
  3. Step 3: Cross multiply
    1,459.13x = 2,013.24 × 891.82
  4. Step 4: Simplify right side
    1,459.13x = 1,795,443.24
  5. Step 5: Solve for x
    x = 1,795,443.24/1,459.13
  6. Step 6: Final answer
    x = 1,230.49

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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.