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Finding the Fourth Proportional to 3,218.23, 4,827.30 and 1,026.95

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Solution

The fourth proportional to 3,218.23, 4,827.30 and 1,026.95 is: 1,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.23 : 4,827.30 = 1,026.95 : x
  2. Step 2: Convert to fraction form
    3,218.23/4,827.30 = 1,026.95/x
  3. Step 3: Cross multiply
    3,218.23x = 4,827.30 × 1,026.95
  4. Step 4: Simplify right side
    3,218.23x = 4,957,395.74
  5. Step 5: Solve for x
    x = 4,957,395.74/3,218.23
  6. Step 6: Final answer
    x = 1,540.41

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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.