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Finding the Fourth Proportional to 3,264.30, 4,898.25 and 1,532.88

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Solution

The fourth proportional to 3,264.30, 4,898.25 and 1,532.88 is: 2,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.30 : 4,898.25 = 1,532.88 : x
  2. Step 2: Convert to fraction form
    3,264.30/4,898.25 = 1,532.88/x
  3. Step 3: Cross multiply
    3,264.30x = 4,898.25 × 1,532.88
  4. Step 4: Simplify right side
    3,264.30x = 7,508,429.46
  5. Step 5: Solve for x
    x = 7,508,429.46/3,264.30
  6. Step 6: Final answer
    x = 2,300.17

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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.