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Finding the Fourth Proportional to 2,347.43, 3,239.80 and 1,463.51

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Solution

The fourth proportional to 2,347.43, 3,239.80 and 1,463.51 is: 2,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.43 : 3,239.80 = 1,463.51 : x
  2. Step 2: Convert to fraction form
    2,347.43/3,239.80 = 1,463.51/x
  3. Step 3: Cross multiply
    2,347.43x = 3,239.80 × 1,463.51
  4. Step 4: Simplify right side
    2,347.43x = 4,741,484.14
  5. Step 5: Solve for x
    x = 4,741,484.14/2,347.43
  6. Step 6: Final answer
    x = 2,019.87

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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.