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Finding the Fourth Proportional to 2,623.26, 3,934.90 and 675.32

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Solution

The fourth proportional to 2,623.26, 3,934.90 and 675.32 is: 1,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.26 : 3,934.90 = 675.32 : x
  2. Step 2: Convert to fraction form
    2,623.26/3,934.90 = 675.32/x
  3. Step 3: Cross multiply
    2,623.26x = 3,934.90 × 675.32
  4. Step 4: Simplify right side
    2,623.26x = 2,657,316.67
  5. Step 5: Solve for x
    x = 2,657,316.67/2,623.26
  6. Step 6: Final answer
    x = 1,012.98

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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.