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Finding the Fourth Proportional to 1,203.18, 1,806.14 and 1,123.90

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Solution

The fourth proportional to 1,203.18, 1,806.14 and 1,123.90 is: 1,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.18 : 1,806.14 = 1,123.90 : x
  2. Step 2: Convert to fraction form
    1,203.18/1,806.14 = 1,123.90/x
  3. Step 3: Cross multiply
    1,203.18x = 1,806.14 × 1,123.90
  4. Step 4: Simplify right side
    1,203.18x = 2,029,920.75
  5. Step 5: Solve for x
    x = 2,029,920.75/1,203.18
  6. Step 6: Final answer
    x = 1,687.13

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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.