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Finding the Fourth Proportional to 2,977.43, 4,108.86 and 1,651.16

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Solution

The fourth proportional to 2,977.43, 4,108.86 and 1,651.16 is: 2,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.43 : 4,108.86 = 1,651.16 : x
  2. Step 2: Convert to fraction form
    2,977.43/4,108.86 = 1,651.16/x
  3. Step 3: Cross multiply
    2,977.43x = 4,108.86 × 1,651.16
  4. Step 4: Simplify right side
    2,977.43x = 6,784,364.73
  5. Step 5: Solve for x
    x = 6,784,364.73/2,977.43
  6. Step 6: Final answer
    x = 2,278.60

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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.