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Finding the Fourth Proportional to 1,789.38, 2,683.55 and 749.35

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Solution

The fourth proportional to 1,789.38, 2,683.55 and 749.35 is: 1,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.38 : 2,683.55 = 749.35 : x
  2. Step 2: Convert to fraction form
    1,789.38/2,683.55 = 749.35/x
  3. Step 3: Cross multiply
    1,789.38x = 2,683.55 × 749.35
  4. Step 4: Simplify right side
    1,789.38x = 2,010,929.91
  5. Step 5: Solve for x
    x = 2,010,929.91/1,789.38
  6. Step 6: Final answer
    x = 1,123.82

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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.