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Finding the Fourth Proportional to 1,944.30, 2,909.60 and 1,214.22

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Solution

The fourth proportional to 1,944.30, 2,909.60 and 1,214.22 is: 1,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.30 : 2,909.60 = 1,214.22 : x
  2. Step 2: Convert to fraction form
    1,944.30/2,909.60 = 1,214.22/x
  3. Step 3: Cross multiply
    1,944.30x = 2,909.60 × 1,214.22
  4. Step 4: Simplify right side
    1,944.30x = 3,532,894.51
  5. Step 5: Solve for x
    x = 3,532,894.51/1,944.30
  6. Step 6: Final answer
    x = 1,817.05

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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.