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Finding the Fourth Proportional to 2,695.79, 4,046.42 and 1,916.69

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Solution

The fourth proportional to 2,695.79, 4,046.42 and 1,916.69 is: 2,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.79 : 4,046.42 = 1,916.69 : x
  2. Step 2: Convert to fraction form
    2,695.79/4,046.42 = 1,916.69/x
  3. Step 3: Cross multiply
    2,695.79x = 4,046.42 × 1,916.69
  4. Step 4: Simplify right side
    2,695.79x = 7,755,717.31
  5. Step 5: Solve for x
    x = 7,755,717.31/2,695.79
  6. Step 6: Final answer
    x = 2,876.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.