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Finding the Fourth Proportional to 2,867.84, 4,301.67 and 815.84

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Solution

The fourth proportional to 2,867.84, 4,301.67 and 815.84 is: 1,223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.84 : 4,301.67 = 815.84 : x
  2. Step 2: Convert to fraction form
    2,867.84/4,301.67 = 815.84/x
  3. Step 3: Cross multiply
    2,867.84x = 4,301.67 × 815.84
  4. Step 4: Simplify right side
    2,867.84x = 3,509,474.45
  5. Step 5: Solve for x
    x = 3,509,474.45/2,867.84
  6. Step 6: Final answer
    x = 1,223.73

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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.