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Finding the Fourth Proportional to 3,114.84, 4,297.52 and 2,181.72

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Solution

The fourth proportional to 3,114.84, 4,297.52 and 2,181.72 is: 3,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.84 : 4,297.52 = 2,181.72 : x
  2. Step 2: Convert to fraction form
    3,114.84/4,297.52 = 2,181.72/x
  3. Step 3: Cross multiply
    3,114.84x = 4,297.52 × 2,181.72
  4. Step 4: Simplify right side
    3,114.84x = 9,375,985.33
  5. Step 5: Solve for x
    x = 9,375,985.33/3,114.84
  6. Step 6: Final answer
    x = 3,010.10

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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.