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Finding the Fourth Proportional to 2,397.67, 3,308.84 and 1,349.98

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Solution

The fourth proportional to 2,397.67, 3,308.84 and 1,349.98 is: 1,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.67 : 3,308.84 = 1,349.98 : x
  2. Step 2: Convert to fraction form
    2,397.67/3,308.84 = 1,349.98/x
  3. Step 3: Cross multiply
    2,397.67x = 3,308.84 × 1,349.98
  4. Step 4: Simplify right side
    2,397.67x = 4,466,867.82
  5. Step 5: Solve for x
    x = 4,466,867.82/2,397.67
  6. Step 6: Final answer
    x = 1,863.00

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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.