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Finding the Fourth Proportional to 1,654.86, 2,282.84 and 1,123.78

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Solution

The fourth proportional to 1,654.86, 2,282.84 and 1,123.78 is: 1,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.86 : 2,282.84 = 1,123.78 : x
  2. Step 2: Convert to fraction form
    1,654.86/2,282.84 = 1,123.78/x
  3. Step 3: Cross multiply
    1,654.86x = 2,282.84 × 1,123.78
  4. Step 4: Simplify right side
    1,654.86x = 2,565,409.94
  5. Step 5: Solve for x
    x = 2,565,409.94/1,654.86
  6. Step 6: Final answer
    x = 1,550.23

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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.