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Finding the Fourth Proportional to 3,034.71, 4,188.08 and 2,024.67

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Solution

The fourth proportional to 3,034.71, 4,188.08 and 2,024.67 is: 2,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.71 : 4,188.08 = 2,024.67 : x
  2. Step 2: Convert to fraction form
    3,034.71/4,188.08 = 2,024.67/x
  3. Step 3: Cross multiply
    3,034.71x = 4,188.08 × 2,024.67
  4. Step 4: Simplify right side
    3,034.71x = 8,479,469.81
  5. Step 5: Solve for x
    x = 8,479,469.81/3,034.71
  6. Step 6: Final answer
    x = 2,794.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.