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Finding the Fourth Proportional to 2,623.35, 3,934.89 and 675.57

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Solution

The fourth proportional to 2,623.35, 3,934.89 and 675.57 is: 1,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.35 : 3,934.89 = 675.57 : x
  2. Step 2: Convert to fraction form
    2,623.35/3,934.89 = 675.57/x
  3. Step 3: Cross multiply
    2,623.35x = 3,934.89 × 675.57
  4. Step 4: Simplify right side
    2,623.35x = 2,658,293.64
  5. Step 5: Solve for x
    x = 2,658,293.64/2,623.35
  6. Step 6: Final answer
    x = 1,013.32

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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.