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Finding the Fourth Proportional to 2,881.96, 3,977.34 and 1,671.07

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Solution

The fourth proportional to 2,881.96, 3,977.34 and 1,671.07 is: 2,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.96 : 3,977.34 = 1,671.07 : x
  2. Step 2: Convert to fraction form
    2,881.96/3,977.34 = 1,671.07/x
  3. Step 3: Cross multiply
    2,881.96x = 3,977.34 × 1,671.07
  4. Step 4: Simplify right side
    2,881.96x = 6,646,393.67
  5. Step 5: Solve for x
    x = 6,646,393.67/2,881.96
  6. Step 6: Final answer
    x = 2,306.21

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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.