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Finding the Fourth Proportional to 2,854.80, 4,282.20 and 2,745.45

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Solution

The fourth proportional to 2,854.80, 4,282.20 and 2,745.45 is: 4,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.80 : 4,282.20 = 2,745.45 : x
  2. Step 2: Convert to fraction form
    2,854.80/4,282.20 = 2,745.45/x
  3. Step 3: Cross multiply
    2,854.80x = 4,282.20 × 2,745.45
  4. Step 4: Simplify right side
    2,854.80x = 11,756,565.99
  5. Step 5: Solve for x
    x = 11,756,565.99/2,854.80
  6. Step 6: Final answer
    x = 4,118.18

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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.