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Finding the Fourth Proportional to 2,952.96, 4,068 and 2,019.84

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Solution

The fourth proportional to 2,952.96, 4,068 and 2,019.84 is: 2,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.96 : 4,068 = 2,019.84 : x
  2. Step 2: Convert to fraction form
    2,952.96/4,068 = 2,019.84/x
  3. Step 3: Cross multiply
    2,952.96x = 4,068 × 2,019.84
  4. Step 4: Simplify right side
    2,952.96x = 8,216,709.12
  5. Step 5: Solve for x
    x = 8,216,709.12/2,952.96
  6. Step 6: Final answer
    x = 2,782.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.