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Finding the Fourth Proportional to 3,296.59, 4,946.82 and 1,218.06

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Solution

The fourth proportional to 3,296.59, 4,946.82 and 1,218.06 is: 1,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.59 : 4,946.82 = 1,218.06 : x
  2. Step 2: Convert to fraction form
    3,296.59/4,946.82 = 1,218.06/x
  3. Step 3: Cross multiply
    3,296.59x = 4,946.82 × 1,218.06
  4. Step 4: Simplify right side
    3,296.59x = 6,025,526.61
  5. Step 5: Solve for x
    x = 6,025,526.61/3,296.59
  6. Step 6: Final answer
    x = 1,827.81

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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.