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Finding the Fourth Proportional to 3,151.20, 4,703.43 and 2,782.20

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Solution

The fourth proportional to 3,151.20, 4,703.43 and 2,782.20 is: 4,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.20 : 4,703.43 = 2,782.20 : x
  2. Step 2: Convert to fraction form
    3,151.20/4,703.43 = 2,782.20/x
  3. Step 3: Cross multiply
    3,151.20x = 4,703.43 × 2,782.20
  4. Step 4: Simplify right side
    3,151.20x = 13,085,882.95
  5. Step 5: Solve for x
    x = 13,085,882.95/3,151.20
  6. Step 6: Final answer
    x = 4,152.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.