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Finding the Fourth Proportional to 1,253.92, 1,879.68 and 1,117.12

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Solution

The fourth proportional to 1,253.92, 1,879.68 and 1,117.12 is: 1,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.92 : 1,879.68 = 1,117.12 : x
  2. Step 2: Convert to fraction form
    1,253.92/1,879.68 = 1,117.12/x
  3. Step 3: Cross multiply
    1,253.92x = 1,879.68 × 1,117.12
  4. Step 4: Simplify right side
    1,253.92x = 2,099,828.12
  5. Step 5: Solve for x
    x = 2,099,828.12/1,253.92
  6. Step 6: Final answer
    x = 1,674.61

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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.