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Finding the Fourth Proportional to 2,714.06, 4,071.09 and 2,169.70

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Solution

The fourth proportional to 2,714.06, 4,071.09 and 2,169.70 is: 3,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.06 : 4,071.09 = 2,169.70 : x
  2. Step 2: Convert to fraction form
    2,714.06/4,071.09 = 2,169.70/x
  3. Step 3: Cross multiply
    2,714.06x = 4,071.09 × 2,169.70
  4. Step 4: Simplify right side
    2,714.06x = 8,833,043.97
  5. Step 5: Solve for x
    x = 8,833,043.97/2,714.06
  6. Step 6: Final answer
    x = 3,254.55

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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.