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Finding the Fourth Proportional to 2,987.71, 4,122.55 and 1,661.38

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Solution

The fourth proportional to 2,987.71, 4,122.55 and 1,661.38 is: 2,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.71 : 4,122.55 = 1,661.38 : x
  2. Step 2: Convert to fraction form
    2,987.71/4,122.55 = 1,661.38/x
  3. Step 3: Cross multiply
    2,987.71x = 4,122.55 × 1,661.38
  4. Step 4: Simplify right side
    2,987.71x = 6,849,113.89
  5. Step 5: Solve for x
    x = 6,849,113.89/2,987.71
  6. Step 6: Final answer
    x = 2,292.43

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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.