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Finding the Fourth Proportional to 2,320.16, 3,480.80 and 676.71

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Solution

The fourth proportional to 2,320.16, 3,480.80 and 676.71 is: 1,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.16 : 3,480.80 = 676.71 : x
  2. Step 2: Convert to fraction form
    2,320.16/3,480.80 = 676.71/x
  3. Step 3: Cross multiply
    2,320.16x = 3,480.80 × 676.71
  4. Step 4: Simplify right side
    2,320.16x = 2,355,488.78
  5. Step 5: Solve for x
    x = 2,355,488.78/2,320.16
  6. Step 6: Final answer
    x = 1,015.23

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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.