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Finding the Fourth Proportional to 1,861.66, 2,792.90 and 886.42

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Solution

The fourth proportional to 1,861.66, 2,792.90 and 886.42 is: 1,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.66 : 2,792.90 = 886.42 : x
  2. Step 2: Convert to fraction form
    1,861.66/2,792.90 = 886.42/x
  3. Step 3: Cross multiply
    1,861.66x = 2,792.90 × 886.42
  4. Step 4: Simplify right side
    1,861.66x = 2,475,682.42
  5. Step 5: Solve for x
    x = 2,475,682.42/1,861.66
  6. Step 6: Final answer
    x = 1,329.83

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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.