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Finding the Fourth Proportional to 3,114.57, 4,298.56 and 2,052.16

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Solution

The fourth proportional to 3,114.57, 4,298.56 and 2,052.16 is: 2,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.57 : 4,298.56 = 2,052.16 : x
  2. Step 2: Convert to fraction form
    3,114.57/4,298.56 = 2,052.16/x
  3. Step 3: Cross multiply
    3,114.57x = 4,298.56 × 2,052.16
  4. Step 4: Simplify right side
    3,114.57x = 8,821,334.87
  5. Step 5: Solve for x
    x = 8,821,334.87/3,114.57
  6. Step 6: Final answer
    x = 2,832.28

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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.