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Finding the Fourth Proportional to 2,866.74, 3,952.17 and 2,369.22

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Solution

The fourth proportional to 2,866.74, 3,952.17 and 2,369.22 is: 3,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.74 : 3,952.17 = 2,369.22 : x
  2. Step 2: Convert to fraction form
    2,866.74/3,952.17 = 2,369.22/x
  3. Step 3: Cross multiply
    2,866.74x = 3,952.17 × 2,369.22
  4. Step 4: Simplify right side
    2,866.74x = 9,363,560.21
  5. Step 5: Solve for x
    x = 9,363,560.21/2,866.74
  6. Step 6: Final answer
    x = 3,266.27

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1.5x scale

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.