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Finding the Fourth Proportional to 3,122.57, 4,682.27 and 1,041.85

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Solution

The fourth proportional to 3,122.57, 4,682.27 and 1,041.85 is: 1,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.57 : 4,682.27 = 1,041.85 : x
  2. Step 2: Convert to fraction form
    3,122.57/4,682.27 = 1,041.85/x
  3. Step 3: Cross multiply
    3,122.57x = 4,682.27 × 1,041.85
  4. Step 4: Simplify right side
    3,122.57x = 4,878,223.00
  5. Step 5: Solve for x
    x = 4,878,223.00/3,122.57
  6. Step 6: Final answer
    x = 1,562.25

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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.