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Finding the Fourth Proportional to 2,874.96, 3,962.34 and 2,475.60

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Solution

The fourth proportional to 2,874.96, 3,962.34 and 2,475.60 is: 3,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.96 : 3,962.34 = 2,475.60 : x
  2. Step 2: Convert to fraction form
    2,874.96/3,962.34 = 2,475.60/x
  3. Step 3: Cross multiply
    2,874.96x = 3,962.34 × 2,475.60
  4. Step 4: Simplify right side
    2,874.96x = 9,809,168.90
  5. Step 5: Solve for x
    x = 9,809,168.90/2,874.96
  6. Step 6: Final answer
    x = 3,411.93

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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.