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Finding the Fourth Proportional to 2,497.66, 3,747.35 and 855.36

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Solution

The fourth proportional to 2,497.66, 3,747.35 and 855.36 is: 1,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.66 : 3,747.35 = 855.36 : x
  2. Step 2: Convert to fraction form
    2,497.66/3,747.35 = 855.36/x
  3. Step 3: Cross multiply
    2,497.66x = 3,747.35 × 855.36
  4. Step 4: Simplify right side
    2,497.66x = 3,205,333.30
  5. Step 5: Solve for x
    x = 3,205,333.30/2,497.66
  6. Step 6: Final answer
    x = 1,283.33

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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.