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Finding the Fourth Proportional to 2,321.87, 3,482.11 and 860.68

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Solution

The fourth proportional to 2,321.87, 3,482.11 and 860.68 is: 1,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.87 : 3,482.11 = 860.68 : x
  2. Step 2: Convert to fraction form
    2,321.87/3,482.11 = 860.68/x
  3. Step 3: Cross multiply
    2,321.87x = 3,482.11 × 860.68
  4. Step 4: Simplify right side
    2,321.87x = 2,996,970.70
  5. Step 5: Solve for x
    x = 2,996,970.70/2,321.87
  6. Step 6: Final answer
    x = 1,290.76

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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.