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Finding the Fourth Proportional to 2,470.77, 3,705.21 and 826.88

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Solution

The fourth proportional to 2,470.77, 3,705.21 and 826.88 is: 1,240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.77 : 3,705.21 = 826.88 : x
  2. Step 2: Convert to fraction form
    2,470.77/3,705.21 = 826.88/x
  3. Step 3: Cross multiply
    2,470.77x = 3,705.21 × 826.88
  4. Step 4: Simplify right side
    2,470.77x = 3,063,745.52
  5. Step 5: Solve for x
    x = 3,063,745.52/2,470.77
  6. Step 6: Final answer
    x = 1,240.00

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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.