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Finding the Fourth Proportional to 2,871.66, 4,305.16 and 1,773.71

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Solution

The fourth proportional to 2,871.66, 4,305.16 and 1,773.71 is: 2,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.66 : 4,305.16 = 1,773.71 : x
  2. Step 2: Convert to fraction form
    2,871.66/4,305.16 = 1,773.71/x
  3. Step 3: Cross multiply
    2,871.66x = 4,305.16 × 1,773.71
  4. Step 4: Simplify right side
    2,871.66x = 7,636,105.34
  5. Step 5: Solve for x
    x = 7,636,105.34/2,871.66
  6. Step 6: Final answer
    x = 2,659.13

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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.