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Finding the Fourth Proportional to 2,379.92, 3,569.12 and 1,209.52

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Solution

The fourth proportional to 2,379.92, 3,569.12 and 1,209.52 is: 1,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.92 : 3,569.12 = 1,209.52 : x
  2. Step 2: Convert to fraction form
    2,379.92/3,569.12 = 1,209.52/x
  3. Step 3: Cross multiply
    2,379.92x = 3,569.12 × 1,209.52
  4. Step 4: Simplify right side
    2,379.92x = 4,316,922.02
  5. Step 5: Solve for x
    x = 4,316,922.02/2,379.92
  6. Step 6: Final answer
    x = 1,813.89

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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.