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Finding the Fourth Proportional to 2,714.51, 4,071.47 and 2,255.24

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Solution

The fourth proportional to 2,714.51, 4,071.47 and 2,255.24 is: 3,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.51 : 4,071.47 = 2,255.24 : x
  2. Step 2: Convert to fraction form
    2,714.51/4,071.47 = 2,255.24/x
  3. Step 3: Cross multiply
    2,714.51x = 4,071.47 × 2,255.24
  4. Step 4: Simplify right side
    2,714.51x = 9,182,140.91
  5. Step 5: Solve for x
    x = 9,182,140.91/2,714.51
  6. Step 6: Final answer
    x = 3,382.61

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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.