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Finding the Fourth Proportional to 2,672.91, 3,689.64 and 2,392.65

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Solution

The fourth proportional to 2,672.91, 3,689.64 and 2,392.65 is: 3,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.91 : 3,689.64 = 2,392.65 : x
  2. Step 2: Convert to fraction form
    2,672.91/3,689.64 = 2,392.65/x
  3. Step 3: Cross multiply
    2,672.91x = 3,689.64 × 2,392.65
  4. Step 4: Simplify right side
    2,672.91x = 8,828,017.15
  5. Step 5: Solve for x
    x = 8,828,017.15/2,672.91
  6. Step 6: Final answer
    x = 3,302.77

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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.