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Finding the Fourth Proportional to 2,810.52, 3,877.77 and 1,691.22

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Solution

The fourth proportional to 2,810.52, 3,877.77 and 1,691.22 is: 2,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.52 : 3,877.77 = 1,691.22 : x
  2. Step 2: Convert to fraction form
    2,810.52/3,877.77 = 1,691.22/x
  3. Step 3: Cross multiply
    2,810.52x = 3,877.77 × 1,691.22
  4. Step 4: Simplify right side
    2,810.52x = 6,558,169.63
  5. Step 5: Solve for x
    x = 6,558,169.63/2,810.52
  6. Step 6: Final answer
    x = 2,333.43

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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.