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Finding the Fourth Proportional to 2,714.11, 3,743.42 and 1,970.53

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Solution

The fourth proportional to 2,714.11, 3,743.42 and 1,970.53 is: 2,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.11 : 3,743.42 = 1,970.53 : x
  2. Step 2: Convert to fraction form
    2,714.11/3,743.42 = 1,970.53/x
  3. Step 3: Cross multiply
    2,714.11x = 3,743.42 × 1,970.53
  4. Step 4: Simplify right side
    2,714.11x = 7,376,502.20
  5. Step 5: Solve for x
    x = 7,376,502.20/2,714.11
  6. Step 6: Final answer
    x = 2,717.84

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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.