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Finding the Fourth Proportional to 1,205.18, 1,809.14 and 1,125.90

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Solution

The fourth proportional to 1,205.18, 1,809.14 and 1,125.90 is: 1,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.18 : 1,809.14 = 1,125.90 : x
  2. Step 2: Convert to fraction form
    1,205.18/1,809.14 = 1,125.90/x
  3. Step 3: Cross multiply
    1,205.18x = 1,809.14 × 1,125.90
  4. Step 4: Simplify right side
    1,205.18x = 2,036,910.73
  5. Step 5: Solve for x
    x = 2,036,910.73/1,205.18
  6. Step 6: Final answer
    x = 1,690.13

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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.