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Finding the Fourth Proportional to 2,869.90, 3,960.58 and 1,861.84

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Solution

The fourth proportional to 2,869.90, 3,960.58 and 1,861.84 is: 2,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.90 : 3,960.58 = 1,861.84 : x
  2. Step 2: Convert to fraction form
    2,869.90/3,960.58 = 1,861.84/x
  3. Step 3: Cross multiply
    2,869.90x = 3,960.58 × 1,861.84
  4. Step 4: Simplify right side
    2,869.90x = 7,373,966.27
  5. Step 5: Solve for x
    x = 7,373,966.27/2,869.90
  6. Step 6: Final answer
    x = 2,569.42

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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.