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Finding the Fourth Proportional to 1,579.25, 2,179.63 and 916.65

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Solution

The fourth proportional to 1,579.25, 2,179.63 and 916.65 is: 1,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.25 : 2,179.63 = 916.65 : x
  2. Step 2: Convert to fraction form
    1,579.25/2,179.63 = 916.65/x
  3. Step 3: Cross multiply
    1,579.25x = 2,179.63 × 916.65
  4. Step 4: Simplify right side
    1,579.25x = 1,997,953.83
  5. Step 5: Solve for x
    x = 1,997,953.83/1,579.25
  6. Step 6: Final answer
    x = 1,265.13

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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.