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Finding the Fourth Proportional to 1,579.91, 2,180.48 and 916.97

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Solution

The fourth proportional to 1,579.91, 2,180.48 and 916.97 is: 1,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.91 : 2,180.48 = 916.97 : x
  2. Step 2: Convert to fraction form
    1,579.91/2,180.48 = 916.97/x
  3. Step 3: Cross multiply
    1,579.91x = 2,180.48 × 916.97
  4. Step 4: Simplify right side
    1,579.91x = 1,999,419.26
  5. Step 5: Solve for x
    x = 1,999,419.26/1,579.91
  6. Step 6: Final answer
    x = 1,265.53

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Why These Related Problems?

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