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Finding the Fourth Proportional to 2,209.71, 3,049.35 and 1,214.93

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Solution

The fourth proportional to 2,209.71, 3,049.35 and 1,214.93 is: 1,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.71 : 3,049.35 = 1,214.93 : x
  2. Step 2: Convert to fraction form
    2,209.71/3,049.35 = 1,214.93/x
  3. Step 3: Cross multiply
    2,209.71x = 3,049.35 × 1,214.93
  4. Step 4: Simplify right side
    2,209.71x = 3,704,749.86
  5. Step 5: Solve for x
    x = 3,704,749.86/2,209.71
  6. Step 6: Final answer
    x = 1,676.57

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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.