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Finding the Fourth Proportional to 3,296.91, 4,549.86 and 1,880.83

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Solution

The fourth proportional to 3,296.91, 4,549.86 and 1,880.83 is: 2,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.91 : 4,549.86 = 1,880.83 : x
  2. Step 2: Convert to fraction form
    3,296.91/4,549.86 = 1,880.83/x
  3. Step 3: Cross multiply
    3,296.91x = 4,549.86 × 1,880.83
  4. Step 4: Simplify right side
    3,296.91x = 8,557,506.07
  5. Step 5: Solve for x
    x = 8,557,506.07/3,296.91
  6. Step 6: Final answer
    x = 2,595.61

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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.