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Finding the Fourth Proportional to 2,143.68, 3,214.35 and 2,001.30

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Solution

The fourth proportional to 2,143.68, 3,214.35 and 2,001.30 is: 3,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.68 : 3,214.35 = 2,001.30 : x
  2. Step 2: Convert to fraction form
    2,143.68/3,214.35 = 2,001.30/x
  3. Step 3: Cross multiply
    2,143.68x = 3,214.35 × 2,001.30
  4. Step 4: Simplify right side
    2,143.68x = 6,432,878.66
  5. Step 5: Solve for x
    x = 6,432,878.66/2,143.68
  6. Step 6: Final answer
    x = 3,000.86

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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.