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Finding the Fourth Proportional to 2,320.67, 3,480.12 and 839.72

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Solution

The fourth proportional to 2,320.67, 3,480.12 and 839.72 is: 1,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.67 : 3,480.12 = 839.72 : x
  2. Step 2: Convert to fraction form
    2,320.67/3,480.12 = 839.72/x
  3. Step 3: Cross multiply
    2,320.67x = 3,480.12 × 839.72
  4. Step 4: Simplify right side
    2,320.67x = 2,922,308.97
  5. Step 5: Solve for x
    x = 2,922,308.97/2,320.67
  6. Step 6: Final answer
    x = 1,259.25

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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.