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Finding the Fourth Proportional to 2,320.40, 3,480.25 and 760.56

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Solution

The fourth proportional to 2,320.40, 3,480.25 and 760.56 is: 1,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.40 : 3,480.25 = 760.56 : x
  2. Step 2: Convert to fraction form
    2,320.40/3,480.25 = 760.56/x
  3. Step 3: Cross multiply
    2,320.40x = 3,480.25 × 760.56
  4. Step 4: Simplify right side
    2,320.40x = 2,646,938.94
  5. Step 5: Solve for x
    x = 2,646,938.94/2,320.40
  6. Step 6: Final answer
    x = 1,140.73

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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.