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Finding the Fourth Proportional to 1,579.52, 2,178.83 and 916.13

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Solution

The fourth proportional to 1,579.52, 2,178.83 and 916.13 is: 1,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.52 : 2,178.83 = 916.13 : x
  2. Step 2: Convert to fraction form
    1,579.52/2,178.83 = 916.13/x
  3. Step 3: Cross multiply
    1,579.52x = 2,178.83 × 916.13
  4. Step 4: Simplify right side
    1,579.52x = 1,996,076.05
  5. Step 5: Solve for x
    x = 1,996,076.05/1,579.52
  6. Step 6: Final answer
    x = 1,263.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.