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Finding the Fourth Proportional to 2,781.72, 3,822.71 and 2,653.23

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Solution

The fourth proportional to 2,781.72, 3,822.71 and 2,653.23 is: 3,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.72 : 3,822.71 = 2,653.23 : x
  2. Step 2: Convert to fraction form
    2,781.72/3,822.71 = 2,653.23/x
  3. Step 3: Cross multiply
    2,781.72x = 3,822.71 × 2,653.23
  4. Step 4: Simplify right side
    2,781.72x = 10,142,515.59
  5. Step 5: Solve for x
    x = 10,142,515.59/2,781.72
  6. Step 6: Final answer
    x = 3,646.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.