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Finding the Fourth Proportional to 2,836.70, 4,259.10 and 2,221.10

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Solution

The fourth proportional to 2,836.70, 4,259.10 and 2,221.10 is: 3,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.70 : 4,259.10 = 2,221.10 : x
  2. Step 2: Convert to fraction form
    2,836.70/4,259.10 = 2,221.10/x
  3. Step 3: Cross multiply
    2,836.70x = 4,259.10 × 2,221.10
  4. Step 4: Simplify right side
    2,836.70x = 9,459,887.01
  5. Step 5: Solve for x
    x = 9,459,887.01/2,836.70
  6. Step 6: Final answer
    x = 3,334.82

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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.