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Finding the Fourth Proportional to 2,600.95, 3,901.44 and 869.57

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Solution

The fourth proportional to 2,600.95, 3,901.44 and 869.57 is: 1,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.95 : 3,901.44 = 869.57 : x
  2. Step 2: Convert to fraction form
    2,600.95/3,901.44 = 869.57/x
  3. Step 3: Cross multiply
    2,600.95x = 3,901.44 × 869.57
  4. Step 4: Simplify right side
    2,600.95x = 3,392,575.18
  5. Step 5: Solve for x
    x = 3,392,575.18/2,600.95
  6. Step 6: Final answer
    x = 1,304.36

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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.