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Finding the Fourth Proportional to 3,246.26, 4,478.00 and 2,196.50

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Solution

The fourth proportional to 3,246.26, 4,478.00 and 2,196.50 is: 3,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.26 : 4,478.00 = 2,196.50 : x
  2. Step 2: Convert to fraction form
    3,246.26/4,478.00 = 2,196.50/x
  3. Step 3: Cross multiply
    3,246.26x = 4,478.00 × 2,196.50
  4. Step 4: Simplify right side
    3,246.26x = 9,835,893.63
  5. Step 5: Solve for x
    x = 9,835,893.63/3,246.26
  6. Step 6: Final answer
    x = 3,029.92

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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.