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Finding the Fourth Proportional to 2,305.80, 3,460.26 and 1,524.12

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Solution

The fourth proportional to 2,305.80, 3,460.26 and 1,524.12 is: 2,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.80 : 3,460.26 = 1,524.12 : x
  2. Step 2: Convert to fraction form
    2,305.80/3,460.26 = 1,524.12/x
  3. Step 3: Cross multiply
    2,305.80x = 3,460.26 × 1,524.12
  4. Step 4: Simplify right side
    2,305.80x = 5,273,851.47
  5. Step 5: Solve for x
    x = 5,273,851.47/2,305.80
  6. Step 6: Final answer
    x = 2,287.21

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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.