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Finding the Fourth Proportional to 2,347.98, 3,519.65 and 1,308.47

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Solution

The fourth proportional to 2,347.98, 3,519.65 and 1,308.47 is: 1,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.98 : 3,519.65 = 1,308.47 : x
  2. Step 2: Convert to fraction form
    2,347.98/3,519.65 = 1,308.47/x
  3. Step 3: Cross multiply
    2,347.98x = 3,519.65 × 1,308.47
  4. Step 4: Simplify right side
    2,347.98x = 4,605,361.91
  5. Step 5: Solve for x
    x = 4,605,361.91/2,347.98
  6. Step 6: Final answer
    x = 1,961.42

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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.