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Finding the Fourth Proportional to 2,854.70, 4,282.05 and 2,206.70

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Solution

The fourth proportional to 2,854.70, 4,282.05 and 2,206.70 is: 3,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.70 : 4,282.05 = 2,206.70 : x
  2. Step 2: Convert to fraction form
    2,854.70/4,282.05 = 2,206.70/x
  3. Step 3: Cross multiply
    2,854.70x = 4,282.05 × 2,206.70
  4. Step 4: Simplify right side
    2,854.70x = 9,449,199.74
  5. Step 5: Solve for x
    x = 9,449,199.74/2,854.70
  6. Step 6: Final answer
    x = 3,310.05

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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.