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Finding the Fourth Proportional to 3,132.86, 4,696.19 and 1,746.83

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Solution

The fourth proportional to 3,132.86, 4,696.19 and 1,746.83 is: 2,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.86 : 4,696.19 = 1,746.83 : x
  2. Step 2: Convert to fraction form
    3,132.86/4,696.19 = 1,746.83/x
  3. Step 3: Cross multiply
    3,132.86x = 4,696.19 × 1,746.83
  4. Step 4: Simplify right side
    3,132.86x = 8,203,436.84
  5. Step 5: Solve for x
    x = 8,203,436.84/3,132.86
  6. Step 6: Final answer
    x = 2,618.51

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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.