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Finding the Fourth Proportional to 3,296.69, 4,549.41 and 1,784.24

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Solution

The fourth proportional to 3,296.69, 4,549.41 and 1,784.24 is: 2,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.69 : 4,549.41 = 1,784.24 : x
  2. Step 2: Convert to fraction form
    3,296.69/4,549.41 = 1,784.24/x
  3. Step 3: Cross multiply
    3,296.69x = 4,549.41 × 1,784.24
  4. Step 4: Simplify right side
    3,296.69x = 8,117,233.61
  5. Step 5: Solve for x
    x = 8,117,233.61/3,296.69
  6. Step 6: Final answer
    x = 2,462.24

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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.