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Finding the Fourth Proportional to 1,579.69, 2,371.56 and 994.87

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Solution

The fourth proportional to 1,579.69, 2,371.56 and 994.87 is: 1,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.69 : 2,371.56 = 994.87 : x
  2. Step 2: Convert to fraction form
    1,579.69/2,371.56 = 994.87/x
  3. Step 3: Cross multiply
    1,579.69x = 2,371.56 × 994.87
  4. Step 4: Simplify right side
    1,579.69x = 2,359,393.90
  5. Step 5: Solve for x
    x = 2,359,393.90/1,579.69
  6. Step 6: Final answer
    x = 1,493.58

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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.