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Finding the Fourth Proportional to 1,587.12, 2,381.28 and 662.42

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Solution

The fourth proportional to 1,587.12, 2,381.28 and 662.42 is: 993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.12 : 2,381.28 = 662.42 : x
  2. Step 2: Convert to fraction form
    1,587.12/2,381.28 = 662.42/x
  3. Step 3: Cross multiply
    1,587.12x = 2,381.28 × 662.42
  4. Step 4: Simplify right side
    1,587.12x = 1,577,407.50
  5. Step 5: Solve for x
    x = 1,577,407.50/1,587.12
  6. Step 6: Final answer
    x = 993.88

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Why These Related Problems?

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