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Finding the Fourth Proportional to 2,675.92, 3,686.16 and 2,326

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Solution

The fourth proportional to 2,675.92, 3,686.16 and 2,326 is: 3,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.92 : 3,686.16 = 2,326 : x
  2. Step 2: Convert to fraction form
    2,675.92/3,686.16 = 2,326/x
  3. Step 3: Cross multiply
    2,675.92x = 3,686.16 × 2,326
  4. Step 4: Simplify right side
    2,675.92x = 8,574,008.16
  5. Step 5: Solve for x
    x = 8,574,008.16/2,675.92
  6. Step 6: Final answer
    x = 3,204.13

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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.