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Finding the Fourth Proportional to 2,977.49, 4,108.96 and 1,651.21

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Solution

The fourth proportional to 2,977.49, 4,108.96 and 1,651.21 is: 2,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.49 : 4,108.96 = 1,651.21 : x
  2. Step 2: Convert to fraction form
    2,977.49/4,108.96 = 1,651.21/x
  3. Step 3: Cross multiply
    2,977.49x = 4,108.96 × 1,651.21
  4. Step 4: Simplify right side
    2,977.49x = 6,784,751.71
  5. Step 5: Solve for x
    x = 6,784,751.71/2,977.49
  6. Step 6: Final answer
    x = 2,278.68

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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.