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Finding the Fourth Proportional to 2,363.82, 3,261.87 and 1,315.98

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Solution

The fourth proportional to 2,363.82, 3,261.87 and 1,315.98 is: 1,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.82 : 3,261.87 = 1,315.98 : x
  2. Step 2: Convert to fraction form
    2,363.82/3,261.87 = 1,315.98/x
  3. Step 3: Cross multiply
    2,363.82x = 3,261.87 × 1,315.98
  4. Step 4: Simplify right side
    2,363.82x = 4,292,555.68
  5. Step 5: Solve for x
    x = 4,292,555.68/2,363.82
  6. Step 6: Final answer
    x = 1,815.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.