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Finding the Fourth Proportional to 2,041.92, 3,063 and 1,002.41

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Solution

The fourth proportional to 2,041.92, 3,063 and 1,002.41 is: 1,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.92 : 3,063 = 1,002.41 : x
  2. Step 2: Convert to fraction form
    2,041.92/3,063 = 1,002.41/x
  3. Step 3: Cross multiply
    2,041.92x = 3,063 × 1,002.41
  4. Step 4: Simplify right side
    2,041.92x = 3,070,381.83
  5. Step 5: Solve for x
    x = 3,070,381.83/2,041.92
  6. Step 6: Final answer
    x = 1,503.67

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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.