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Finding the Fourth Proportional to 2,638.12, 3,954.34 and 1,714.34

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Solution

The fourth proportional to 2,638.12, 3,954.34 and 1,714.34 is: 2,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.12 : 3,954.34 = 1,714.34 : x
  2. Step 2: Convert to fraction form
    2,638.12/3,954.34 = 1,714.34/x
  3. Step 3: Cross multiply
    2,638.12x = 3,954.34 × 1,714.34
  4. Step 4: Simplify right side
    2,638.12x = 6,779,085.62
  5. Step 5: Solve for x
    x = 6,779,085.62/2,638.12
  6. Step 6: Final answer
    x = 2,569.66

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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.