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Finding the Fourth Proportional to 3,260.56, 4,891.47 and 1,529.23

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Solution

The fourth proportional to 3,260.56, 4,891.47 and 1,529.23 is: 2,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.56 : 4,891.47 = 1,529.23 : x
  2. Step 2: Convert to fraction form
    3,260.56/4,891.47 = 1,529.23/x
  3. Step 3: Cross multiply
    3,260.56x = 4,891.47 × 1,529.23
  4. Step 4: Simplify right side
    3,260.56x = 7,480,182.67
  5. Step 5: Solve for x
    x = 7,480,182.67/3,260.56
  6. Step 6: Final answer
    x = 2,294.14

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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.