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Finding the Fourth Proportional to 2,633.54, 3,949.02 and 1,538.18

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Solution

The fourth proportional to 2,633.54, 3,949.02 and 1,538.18 is: 2,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.54 : 3,949.02 = 1,538.18 : x
  2. Step 2: Convert to fraction form
    2,633.54/3,949.02 = 1,538.18/x
  3. Step 3: Cross multiply
    2,633.54x = 3,949.02 × 1,538.18
  4. Step 4: Simplify right side
    2,633.54x = 6,074,303.58
  5. Step 5: Solve for x
    x = 6,074,303.58/2,633.54
  6. Step 6: Final answer
    x = 2,306.52

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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.