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Finding the Fourth Proportional to 1,579.43, 2,179.56 and 916.22

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Solution

The fourth proportional to 1,579.43, 2,179.56 and 916.22 is: 1,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.43 : 2,179.56 = 916.22 : x
  2. Step 2: Convert to fraction form
    1,579.43/2,179.56 = 916.22/x
  3. Step 3: Cross multiply
    1,579.43x = 2,179.56 × 916.22
  4. Step 4: Simplify right side
    1,579.43x = 1,996,956.46
  5. Step 5: Solve for x
    x = 1,996,956.46/1,579.43
  6. Step 6: Final answer
    x = 1,264.35

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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.