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Finding the Fourth Proportional to 1,459, 2,187.34 and 728.18

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Solution

The fourth proportional to 1,459, 2,187.34 and 728.18 is: 1,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459 : 2,187.34 = 728.18 : x
  2. Step 2: Convert to fraction form
    1,459/2,187.34 = 728.18/x
  3. Step 3: Cross multiply
    1,459x = 2,187.34 × 728.18
  4. Step 4: Simplify right side
    1,459x = 1,592,777.24
  5. Step 5: Solve for x
    x = 1,592,777.24/1,459
  6. Step 6: Final answer
    x = 1,091.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.