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Finding the Fourth Proportional to 2,623.72, 3,934.52 and 868.64

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Solution

The fourth proportional to 2,623.72, 3,934.52 and 868.64 is: 1,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.72 : 3,934.52 = 868.64 : x
  2. Step 2: Convert to fraction form
    2,623.72/3,934.52 = 868.64/x
  3. Step 3: Cross multiply
    2,623.72x = 3,934.52 × 868.64
  4. Step 4: Simplify right side
    2,623.72x = 3,417,681.45
  5. Step 5: Solve for x
    x = 3,417,681.45/2,623.72
  6. Step 6: Final answer
    x = 1,302.61

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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.