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Finding the Fourth Proportional to 1,854.58, 2,780.46 and 1,123.96

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Solution

The fourth proportional to 1,854.58, 2,780.46 and 1,123.96 is: 1,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.58 : 2,780.46 = 1,123.96 : x
  2. Step 2: Convert to fraction form
    1,854.58/2,780.46 = 1,123.96/x
  3. Step 3: Cross multiply
    1,854.58x = 2,780.46 × 1,123.96
  4. Step 4: Simplify right side
    1,854.58x = 3,125,125.82
  5. Step 5: Solve for x
    x = 3,125,125.82/1,854.58
  6. Step 6: Final answer
    x = 1,685.09

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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.