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Finding the Fourth Proportional to 2,965.43, 4,448.14 and 2,785

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Solution

The fourth proportional to 2,965.43, 4,448.14 and 2,785 is: 4,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.43 : 4,448.14 = 2,785 : x
  2. Step 2: Convert to fraction form
    2,965.43/4,448.14 = 2,785/x
  3. Step 3: Cross multiply
    2,965.43x = 4,448.14 × 2,785
  4. Step 4: Simplify right side
    2,965.43x = 12,388,055.98
  5. Step 5: Solve for x
    x = 12,388,055.98/2,965.43
  6. Step 6: Final answer
    x = 4,177.50

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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.