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Finding the Fourth Proportional to 1,869.92, 2,580.38 and 1,123.44

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Solution

The fourth proportional to 1,869.92, 2,580.38 and 1,123.44 is: 1,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.92 : 2,580.38 = 1,123.44 : x
  2. Step 2: Convert to fraction form
    1,869.92/2,580.38 = 1,123.44/x
  3. Step 3: Cross multiply
    1,869.92x = 2,580.38 × 1,123.44
  4. Step 4: Simplify right side
    1,869.92x = 2,898,902.11
  5. Step 5: Solve for x
    x = 2,898,902.11/1,869.92
  6. Step 6: Final answer
    x = 1,550.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.