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Finding the Fourth Proportional to 2,661.32, 3,673.06 and 2,218.52

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Solution

The fourth proportional to 2,661.32, 3,673.06 and 2,218.52 is: 3,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.32 : 3,673.06 = 2,218.52 : x
  2. Step 2: Convert to fraction form
    2,661.32/3,673.06 = 2,218.52/x
  3. Step 3: Cross multiply
    2,661.32x = 3,673.06 × 2,218.52
  4. Step 4: Simplify right side
    2,661.32x = 8,148,757.07
  5. Step 5: Solve for x
    x = 8,148,757.07/2,661.32
  6. Step 6: Final answer
    x = 3,061.92

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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.