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Finding the Fourth Proportional to 2,014.81, 3,023.12 and 1,041.59

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Solution

The fourth proportional to 2,014.81, 3,023.12 and 1,041.59 is: 1,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.81 : 3,023.12 = 1,041.59 : x
  2. Step 2: Convert to fraction form
    2,014.81/3,023.12 = 1,041.59/x
  3. Step 3: Cross multiply
    2,014.81x = 3,023.12 × 1,041.59
  4. Step 4: Simplify right side
    2,014.81x = 3,148,861.72
  5. Step 5: Solve for x
    x = 3,148,861.72/2,014.81
  6. Step 6: Final answer
    x = 1,562.86

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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.