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Finding the Fourth Proportional to 2,390.82, 3,299.16 and 1,342.86

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Solution

The fourth proportional to 2,390.82, 3,299.16 and 1,342.86 is: 1,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.82 : 3,299.16 = 1,342.86 : x
  2. Step 2: Convert to fraction form
    2,390.82/3,299.16 = 1,342.86/x
  3. Step 3: Cross multiply
    2,390.82x = 3,299.16 × 1,342.86
  4. Step 4: Simplify right side
    2,390.82x = 4,430,310.00
  5. Step 5: Solve for x
    x = 4,430,310.00/2,390.82
  6. Step 6: Final answer
    x = 1,853.05

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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.