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Finding the Fourth Proportional to 2,689.37, 3,714.45 and 2,452.89

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Solution

The fourth proportional to 2,689.37, 3,714.45 and 2,452.89 is: 3,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.37 : 3,714.45 = 2,452.89 : x
  2. Step 2: Convert to fraction form
    2,689.37/3,714.45 = 2,452.89/x
  3. Step 3: Cross multiply
    2,689.37x = 3,714.45 × 2,452.89
  4. Step 4: Simplify right side
    2,689.37x = 9,111,137.26
  5. Step 5: Solve for x
    x = 9,111,137.26/2,689.37
  6. Step 6: Final answer
    x = 3,387.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.