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Finding the Fourth Proportional to 2,508.89, 3,763.65 and 1,047.69

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Solution

The fourth proportional to 2,508.89, 3,763.65 and 1,047.69 is: 1,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.89 : 3,763.65 = 1,047.69 : x
  2. Step 2: Convert to fraction form
    2,508.89/3,763.65 = 1,047.69/x
  3. Step 3: Cross multiply
    2,508.89x = 3,763.65 × 1,047.69
  4. Step 4: Simplify right side
    2,508.89x = 3,943,138.47
  5. Step 5: Solve for x
    x = 3,943,138.47/2,508.89
  6. Step 6: Final answer
    x = 1,571.67

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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.