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Finding the Fourth Proportional to 2,714.09, 3,746.17 and 1,595.39

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Solution

The fourth proportional to 2,714.09, 3,746.17 and 1,595.39 is: 2,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.09 : 3,746.17 = 1,595.39 : x
  2. Step 2: Convert to fraction form
    2,714.09/3,746.17 = 1,595.39/x
  3. Step 3: Cross multiply
    2,714.09x = 3,746.17 × 1,595.39
  4. Step 4: Simplify right side
    2,714.09x = 5,976,585.42
  5. Step 5: Solve for x
    x = 5,976,585.42/2,714.09
  6. Step 6: Final answer
    x = 2,202.06

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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.