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Finding the Fourth Proportional to 3,122.58, 4,682.11 and 1,041.47

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Solution

The fourth proportional to 3,122.58, 4,682.11 and 1,041.47 is: 1,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.58 : 4,682.11 = 1,041.47 : x
  2. Step 2: Convert to fraction form
    3,122.58/4,682.11 = 1,041.47/x
  3. Step 3: Cross multiply
    3,122.58x = 4,682.11 × 1,041.47
  4. Step 4: Simplify right side
    3,122.58x = 4,876,277.10
  5. Step 5: Solve for x
    x = 4,876,277.10/3,122.58
  6. Step 6: Final answer
    x = 1,561.62

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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.