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Finding the Fourth Proportional to 2,838.72, 3,917.52 and 1,719.87

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Solution

The fourth proportional to 2,838.72, 3,917.52 and 1,719.87 is: 2,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.72 : 3,917.52 = 1,719.87 : x
  2. Step 2: Convert to fraction form
    2,838.72/3,917.52 = 1,719.87/x
  3. Step 3: Cross multiply
    2,838.72x = 3,917.52 × 1,719.87
  4. Step 4: Simplify right side
    2,838.72x = 6,737,625.12
  5. Step 5: Solve for x
    x = 6,737,625.12/2,838.72
  6. Step 6: Final answer
    x = 2,373.47

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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.