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Finding the Fourth Proportional to 2,646.27, 3,969.54 and 1,002.95

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Solution

The fourth proportional to 2,646.27, 3,969.54 and 1,002.95 is: 1,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.27 : 3,969.54 = 1,002.95 : x
  2. Step 2: Convert to fraction form
    2,646.27/3,969.54 = 1,002.95/x
  3. Step 3: Cross multiply
    2,646.27x = 3,969.54 × 1,002.95
  4. Step 4: Simplify right side
    2,646.27x = 3,981,245.18
  5. Step 5: Solve for x
    x = 3,981,245.18/2,646.27
  6. Step 6: Final answer
    x = 1,504.47

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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.