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Finding the Fourth Proportional to 2,520.76, 3,782.04 and 1,289.20

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Solution

The fourth proportional to 2,520.76, 3,782.04 and 1,289.20 is: 1,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.76 : 3,782.04 = 1,289.20 : x
  2. Step 2: Convert to fraction form
    2,520.76/3,782.04 = 1,289.20/x
  3. Step 3: Cross multiply
    2,520.76x = 3,782.04 × 1,289.20
  4. Step 4: Simplify right side
    2,520.76x = 4,875,805.97
  5. Step 5: Solve for x
    x = 4,875,805.97/2,520.76
  6. Step 6: Final answer
    x = 1,934.26

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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.