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Finding the Fourth Proportional to 2,765.52, 4,146.30 and 1,532.16

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Solution

The fourth proportional to 2,765.52, 4,146.30 and 1,532.16 is: 2,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.52 : 4,146.30 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    2,765.52/4,146.30 = 1,532.16/x
  3. Step 3: Cross multiply
    2,765.52x = 4,146.30 × 1,532.16
  4. Step 4: Simplify right side
    2,765.52x = 6,352,795.01
  5. Step 5: Solve for x
    x = 6,352,795.01/2,765.52
  6. Step 6: Final answer
    x = 2,297.14

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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.