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Finding the Fourth Proportional to 2,797.52, 3,860.50 and 1,538.70

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Solution

The fourth proportional to 2,797.52, 3,860.50 and 1,538.70 is: 2,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.52 : 3,860.50 = 1,538.70 : x
  2. Step 2: Convert to fraction form
    2,797.52/3,860.50 = 1,538.70/x
  3. Step 3: Cross multiply
    2,797.52x = 3,860.50 × 1,538.70
  4. Step 4: Simplify right side
    2,797.52x = 5,940,151.35
  5. Step 5: Solve for x
    x = 5,940,151.35/2,797.52
  6. Step 6: Final answer
    x = 2,123.36

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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.