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Finding the Fourth Proportional to 2,463.63, 3,691.35 and 2,026.23

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Solution

The fourth proportional to 2,463.63, 3,691.35 and 2,026.23 is: 3,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.63 : 3,691.35 = 2,026.23 : x
  2. Step 2: Convert to fraction form
    2,463.63/3,691.35 = 2,026.23/x
  3. Step 3: Cross multiply
    2,463.63x = 3,691.35 × 2,026.23
  4. Step 4: Simplify right side
    2,463.63x = 7,479,524.11
  5. Step 5: Solve for x
    x = 7,479,524.11/2,463.63
  6. Step 6: Final answer
    x = 3,035.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.