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Finding the Fourth Proportional to 3,019.52, 4,167.24 and 1,969.76

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Solution

The fourth proportional to 3,019.52, 4,167.24 and 1,969.76 is: 2,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.52 : 4,167.24 = 1,969.76 : x
  2. Step 2: Convert to fraction form
    3,019.52/4,167.24 = 1,969.76/x
  3. Step 3: Cross multiply
    3,019.52x = 4,167.24 × 1,969.76
  4. Step 4: Simplify right side
    3,019.52x = 8,208,462.66
  5. Step 5: Solve for x
    x = 8,208,462.66/3,019.52
  6. Step 6: Final answer
    x = 2,718.47

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