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Finding the Fourth Proportional to 2,690.34, 4,014.60 and 2,414.55

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Solution

The fourth proportional to 2,690.34, 4,014.60 and 2,414.55 is: 3,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.34 : 4,014.60 = 2,414.55 : x
  2. Step 2: Convert to fraction form
    2,690.34/4,014.60 = 2,414.55/x
  3. Step 3: Cross multiply
    2,690.34x = 4,014.60 × 2,414.55
  4. Step 4: Simplify right side
    2,690.34x = 9,693,452.43
  5. Step 5: Solve for x
    x = 9,693,452.43/2,690.34
  6. Step 6: Final answer
    x = 3,603.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.