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Finding the Fourth Proportional to 2,714.61, 3,743.87 and 2,216.39

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Solution

The fourth proportional to 2,714.61, 3,743.87 and 2,216.39 is: 3,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.61 : 3,743.87 = 2,216.39 : x
  2. Step 2: Convert to fraction form
    2,714.61/3,743.87 = 2,216.39/x
  3. Step 3: Cross multiply
    2,714.61x = 3,743.87 × 2,216.39
  4. Step 4: Simplify right side
    2,714.61x = 8,297,869.22
  5. Step 5: Solve for x
    x = 8,297,869.22/2,714.61
  6. Step 6: Final answer
    x = 3,056.74

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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.