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Finding the Fourth Proportional to 2,345.40, 3,236.49 and 1,349.97

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Solution

The fourth proportional to 2,345.40, 3,236.49 and 1,349.97 is: 1,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.40 : 3,236.49 = 1,349.97 : x
  2. Step 2: Convert to fraction form
    2,345.40/3,236.49 = 1,349.97/x
  3. Step 3: Cross multiply
    2,345.40x = 3,236.49 × 1,349.97
  4. Step 4: Simplify right side
    2,345.40x = 4,369,164.41
  5. Step 5: Solve for x
    x = 4,369,164.41/2,345.40
  6. Step 6: Final answer
    x = 1,862.87

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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.