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Finding the Fourth Proportional to 3,114.28, 4,671.10 and 1,651.88

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Solution

The fourth proportional to 3,114.28, 4,671.10 and 1,651.88 is: 2,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.28 : 4,671.10 = 1,651.88 : x
  2. Step 2: Convert to fraction form
    3,114.28/4,671.10 = 1,651.88/x
  3. Step 3: Cross multiply
    3,114.28x = 4,671.10 × 1,651.88
  4. Step 4: Simplify right side
    3,114.28x = 7,716,096.67
  5. Step 5: Solve for x
    x = 7,716,096.67/3,114.28
  6. Step 6: Final answer
    x = 2,477.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.