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Finding the Fourth Proportional to 2,714.08, 4,077.64 and 1,742.08

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Solution

The fourth proportional to 2,714.08, 4,077.64 and 1,742.08 is: 2,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.08 : 4,077.64 = 1,742.08 : x
  2. Step 2: Convert to fraction form
    2,714.08/4,077.64 = 1,742.08/x
  3. Step 3: Cross multiply
    2,714.08x = 4,077.64 × 1,742.08
  4. Step 4: Simplify right side
    2,714.08x = 7,103,575.09
  5. Step 5: Solve for x
    x = 7,103,575.09/2,714.08
  6. Step 6: Final answer
    x = 2,617.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.