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Finding the Fourth Proportional to 2,965.74, 4,448.28 and 1,866.84

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Solution

The fourth proportional to 2,965.74, 4,448.28 and 1,866.84 is: 2,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.74 : 4,448.28 = 1,866.84 : x
  2. Step 2: Convert to fraction form
    2,965.74/4,448.28 = 1,866.84/x
  3. Step 3: Cross multiply
    2,965.74x = 4,448.28 × 1,866.84
  4. Step 4: Simplify right side
    2,965.74x = 8,304,227.04
  5. Step 5: Solve for x
    x = 8,304,227.04/2,965.74
  6. Step 6: Final answer
    x = 2,800.05

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1.5x scale

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.