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Finding the Fourth Proportional to 2,379.18, 3,569.68 and 992.14

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Solution

The fourth proportional to 2,379.18, 3,569.68 and 992.14 is: 1,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.18 : 3,569.68 = 992.14 : x
  2. Step 2: Convert to fraction form
    2,379.18/3,569.68 = 992.14/x
  3. Step 3: Cross multiply
    2,379.18x = 3,569.68 × 992.14
  4. Step 4: Simplify right side
    2,379.18x = 3,541,622.32
  5. Step 5: Solve for x
    x = 3,541,622.32/2,379.18
  6. Step 6: Final answer
    x = 1,488.59

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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.