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Finding the Fourth Proportional to 3,169.09, 4,368.10 and 2,381.77

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Solution

The fourth proportional to 3,169.09, 4,368.10 and 2,381.77 is: 3,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.09 : 4,368.10 = 2,381.77 : x
  2. Step 2: Convert to fraction form
    3,169.09/4,368.10 = 2,381.77/x
  3. Step 3: Cross multiply
    3,169.09x = 4,368.10 × 2,381.77
  4. Step 4: Simplify right side
    3,169.09x = 10,403,781.74
  5. Step 5: Solve for x
    x = 10,403,781.74/3,169.09
  6. Step 6: Final answer
    x = 3,282.90

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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.