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Finding the Fourth Proportional to 2,347.40, 3,238.01 and 1,463.03

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Solution

The fourth proportional to 2,347.40, 3,238.01 and 1,463.03 is: 2,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.40 : 3,238.01 = 1,463.03 : x
  2. Step 2: Convert to fraction form
    2,347.40/3,238.01 = 1,463.03/x
  3. Step 3: Cross multiply
    2,347.40x = 3,238.01 × 1,463.03
  4. Step 4: Simplify right side
    2,347.40x = 4,737,282.27
  5. Step 5: Solve for x
    x = 4,737,282.27/2,347.40
  6. Step 6: Final answer
    x = 2,018.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.