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Finding the Fourth Proportional to 2,878.70, 4,320.24 and 1,952.06

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Solution

The fourth proportional to 2,878.70, 4,320.24 and 1,952.06 is: 2,929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.70 : 4,320.24 = 1,952.06 : x
  2. Step 2: Convert to fraction form
    2,878.70/4,320.24 = 1,952.06/x
  3. Step 3: Cross multiply
    2,878.70x = 4,320.24 × 1,952.06
  4. Step 4: Simplify right side
    2,878.70x = 8,433,367.69
  5. Step 5: Solve for x
    x = 8,433,367.69/2,878.70
  6. Step 6: Final answer
    x = 2,929.58

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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.