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Finding the Fourth Proportional to 2,714.33, 4,070.07 and 1,252.23

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Solution

The fourth proportional to 2,714.33, 4,070.07 and 1,252.23 is: 1,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.33 : 4,070.07 = 1,252.23 : x
  2. Step 2: Convert to fraction form
    2,714.33/4,070.07 = 1,252.23/x
  3. Step 3: Cross multiply
    2,714.33x = 4,070.07 × 1,252.23
  4. Step 4: Simplify right side
    2,714.33x = 5,096,663.76
  5. Step 5: Solve for x
    x = 5,096,663.76/2,714.33
  6. Step 6: Final answer
    x = 1,877.69

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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.