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Finding the Fourth Proportional to 1,579.04, 2,179.56 and 916.06

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Solution

The fourth proportional to 1,579.04, 2,179.56 and 916.06 is: 1,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.04 : 2,179.56 = 916.06 : x
  2. Step 2: Convert to fraction form
    1,579.04/2,179.56 = 916.06/x
  3. Step 3: Cross multiply
    1,579.04x = 2,179.56 × 916.06
  4. Step 4: Simplify right side
    1,579.04x = 1,996,607.73
  5. Step 5: Solve for x
    x = 1,996,607.73/1,579.04
  6. Step 6: Final answer
    x = 1,264.44

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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.