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Finding the Fourth Proportional to 2,714.39, 3,742.58 and 2,294

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Solution

The fourth proportional to 2,714.39, 3,742.58 and 2,294 is: 3,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.39 : 3,742.58 = 2,294 : x
  2. Step 2: Convert to fraction form
    2,714.39/3,742.58 = 2,294/x
  3. Step 3: Cross multiply
    2,714.39x = 3,742.58 × 2,294
  4. Step 4: Simplify right side
    2,714.39x = 8,585,467.05
  5. Step 5: Solve for x
    x = 8,585,467.05/2,714.39
  6. Step 6: Final answer
    x = 3,162.95

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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.