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Finding the Fourth Proportional to 2,531.13, 3,797.86 and 970.61

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Solution

The fourth proportional to 2,531.13, 3,797.86 and 970.61 is: 1,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.13 : 3,797.86 = 970.61 : x
  2. Step 2: Convert to fraction form
    2,531.13/3,797.86 = 970.61/x
  3. Step 3: Cross multiply
    2,531.13x = 3,797.86 × 970.61
  4. Step 4: Simplify right side
    2,531.13x = 3,686,240.89
  5. Step 5: Solve for x
    x = 3,686,240.89/2,531.13
  6. Step 6: Final answer
    x = 1,456.36

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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.