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Finding the Fourth Proportional to 2,347.81, 3,240.61 and 1,463.09

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Solution

The fourth proportional to 2,347.81, 3,240.61 and 1,463.09 is: 2,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.81 : 3,240.61 = 1,463.09 : x
  2. Step 2: Convert to fraction form
    2,347.81/3,240.61 = 1,463.09/x
  3. Step 3: Cross multiply
    2,347.81x = 3,240.61 × 1,463.09
  4. Step 4: Simplify right side
    2,347.81x = 4,741,284.22
  5. Step 5: Solve for x
    x = 4,741,284.22/2,347.81
  6. Step 6: Final answer
    x = 2,019.45

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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.