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Finding the Fourth Proportional to 2,660.16, 3,985.84 and 1,632

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Solution

The fourth proportional to 2,660.16, 3,985.84 and 1,632 is: 2,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.16 : 3,985.84 = 1,632 : x
  2. Step 2: Convert to fraction form
    2,660.16/3,985.84 = 1,632/x
  3. Step 3: Cross multiply
    2,660.16x = 3,985.84 × 1,632
  4. Step 4: Simplify right side
    2,660.16x = 6,504,890.88
  5. Step 5: Solve for x
    x = 6,504,890.88/2,660.16
  6. Step 6: Final answer
    x = 2,445.30

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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.