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Finding the Fourth Proportional to 2,380.17, 3,569.49 and 992.76

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Solution

The fourth proportional to 2,380.17, 3,569.49 and 992.76 is: 1,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.17 : 3,569.49 = 992.76 : x
  2. Step 2: Convert to fraction form
    2,380.17/3,569.49 = 992.76/x
  3. Step 3: Cross multiply
    2,380.17x = 3,569.49 × 992.76
  4. Step 4: Simplify right side
    2,380.17x = 3,543,646.89
  5. Step 5: Solve for x
    x = 3,543,646.89/2,380.17
  6. Step 6: Final answer
    x = 1,488.82

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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.