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Finding the Fourth Proportional to 2,623.06, 3,934.80 and 675.26

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Solution

The fourth proportional to 2,623.06, 3,934.80 and 675.26 is: 1,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.06 : 3,934.80 = 675.26 : x
  2. Step 2: Convert to fraction form
    2,623.06/3,934.80 = 675.26/x
  3. Step 3: Cross multiply
    2,623.06x = 3,934.80 × 675.26
  4. Step 4: Simplify right side
    2,623.06x = 2,657,013.05
  5. Step 5: Solve for x
    x = 2,657,013.05/2,623.06
  6. Step 6: Final answer
    x = 1,012.94

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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.