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Finding the Fourth Proportional to 3,200.67, 4,417.02 and 1,874.40

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Solution

The fourth proportional to 3,200.67, 4,417.02 and 1,874.40 is: 2,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.67 : 4,417.02 = 1,874.40 : x
  2. Step 2: Convert to fraction form
    3,200.67/4,417.02 = 1,874.40/x
  3. Step 3: Cross multiply
    3,200.67x = 4,417.02 × 1,874.40
  4. Step 4: Simplify right side
    3,200.67x = 8,279,262.29
  5. Step 5: Solve for x
    x = 8,279,262.29/3,200.67
  6. Step 6: Final answer
    x = 2,586.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.