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Finding the Fourth Proportional to 2,714.82, 4,070.38 and 1,253.16

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Solution

The fourth proportional to 2,714.82, 4,070.38 and 1,253.16 is: 1,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.82 : 4,070.38 = 1,253.16 : x
  2. Step 2: Convert to fraction form
    2,714.82/4,070.38 = 1,253.16/x
  3. Step 3: Cross multiply
    2,714.82x = 4,070.38 × 1,253.16
  4. Step 4: Simplify right side
    2,714.82x = 5,100,837.40
  5. Step 5: Solve for x
    x = 5,100,837.40/2,714.82
  6. Step 6: Final answer
    x = 1,878.89

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