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Finding the Fourth Proportional to 2,347.03, 3,238.25 and 1,462.96

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Solution

The fourth proportional to 2,347.03, 3,238.25 and 1,462.96 is: 2,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.03 : 3,238.25 = 1,462.96 : x
  2. Step 2: Convert to fraction form
    2,347.03/3,238.25 = 1,462.96/x
  3. Step 3: Cross multiply
    2,347.03x = 3,238.25 × 1,462.96
  4. Step 4: Simplify right side
    2,347.03x = 4,737,426.95
  5. Step 5: Solve for x
    x = 4,737,426.95/2,347.03
  6. Step 6: Final answer
    x = 2,018.48

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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.