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Finding the Fourth Proportional to 2,714.13, 3,747.33 and 1,719.99

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Solution

The fourth proportional to 2,714.13, 3,747.33 and 1,719.99 is: 2,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.13 : 3,747.33 = 1,719.99 : x
  2. Step 2: Convert to fraction form
    2,714.13/3,747.33 = 1,719.99/x
  3. Step 3: Cross multiply
    2,714.13x = 3,747.33 × 1,719.99
  4. Step 4: Simplify right side
    2,714.13x = 6,445,370.13
  5. Step 5: Solve for x
    x = 6,445,370.13/2,714.13
  6. Step 6: Final answer
    x = 2,374.75

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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.