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Finding the Fourth Proportional to 1,579.82, 2,179.91 and 916.55

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Solution

The fourth proportional to 1,579.82, 2,179.91 and 916.55 is: 1,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.82 : 2,179.91 = 916.55 : x
  2. Step 2: Convert to fraction form
    1,579.82/2,179.91 = 916.55/x
  3. Step 3: Cross multiply
    1,579.82x = 2,179.91 × 916.55
  4. Step 4: Simplify right side
    1,579.82x = 1,997,996.51
  5. Step 5: Solve for x
    x = 1,997,996.51/1,579.82
  6. Step 6: Final answer
    x = 1,264.70

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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.