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Finding the Fourth Proportional to 2,159.34, 3,240.18 and 1,005

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Solution

The fourth proportional to 2,159.34, 3,240.18 and 1,005 is: 1,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.34 : 3,240.18 = 1,005 : x
  2. Step 2: Convert to fraction form
    2,159.34/3,240.18 = 1,005/x
  3. Step 3: Cross multiply
    2,159.34x = 3,240.18 × 1,005
  4. Step 4: Simplify right side
    2,159.34x = 3,256,380.90
  5. Step 5: Solve for x
    x = 3,256,380.90/2,159.34
  6. Step 6: Final answer
    x = 1,508.04

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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.