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Finding the Fourth Proportional to 2,689.22, 4,034.16 and 840.80

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Solution

The fourth proportional to 2,689.22, 4,034.16 and 840.80 is: 1,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.22 : 4,034.16 = 840.80 : x
  2. Step 2: Convert to fraction form
    2,689.22/4,034.16 = 840.80/x
  3. Step 3: Cross multiply
    2,689.22x = 4,034.16 × 840.80
  4. Step 4: Simplify right side
    2,689.22x = 3,391,901.56
  5. Step 5: Solve for x
    x = 3,391,901.56/2,689.22
  6. Step 6: Final answer
    x = 1,261.30

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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.