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Finding the Fourth Proportional to 3,216.50, 4,435.73 and 2,098.30

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Solution

The fourth proportional to 3,216.50, 4,435.73 and 2,098.30 is: 2,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.50 : 4,435.73 = 2,098.30 : x
  2. Step 2: Convert to fraction form
    3,216.50/4,435.73 = 2,098.30/x
  3. Step 3: Cross multiply
    3,216.50x = 4,435.73 × 2,098.30
  4. Step 4: Simplify right side
    3,216.50x = 9,307,459.59
  5. Step 5: Solve for x
    x = 9,307,459.59/3,216.50
  6. Step 6: Final answer
    x = 2,893.66

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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.