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Finding the Fourth Proportional to 1,863.61, 2,792.80 and 1,471.89

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Solution

The fourth proportional to 1,863.61, 2,792.80 and 1,471.89 is: 2,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.61 : 2,792.80 = 1,471.89 : x
  2. Step 2: Convert to fraction form
    1,863.61/2,792.80 = 1,471.89/x
  3. Step 3: Cross multiply
    1,863.61x = 2,792.80 × 1,471.89
  4. Step 4: Simplify right side
    1,863.61x = 4,110,687.03
  5. Step 5: Solve for x
    x = 4,110,687.03/1,863.61
  6. Step 6: Final answer
    x = 2,205.77

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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.