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Finding the Fourth Proportional to 2,866.39, 3,951.05 and 2,259.74

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Solution

The fourth proportional to 2,866.39, 3,951.05 and 2,259.74 is: 3,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.39 : 3,951.05 = 2,259.74 : x
  2. Step 2: Convert to fraction form
    2,866.39/3,951.05 = 2,259.74/x
  3. Step 3: Cross multiply
    2,866.39x = 3,951.05 × 2,259.74
  4. Step 4: Simplify right side
    2,866.39x = 8,928,334.43
  5. Step 5: Solve for x
    x = 8,928,334.43/2,866.39
  6. Step 6: Final answer
    x = 3,114.84

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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.