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Finding the Fourth Proportional to 2,214.72, 3,059.76 and 2,039.76

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Solution

The fourth proportional to 2,214.72, 3,059.76 and 2,039.76 is: 2,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.72 : 3,059.76 = 2,039.76 : x
  2. Step 2: Convert to fraction form
    2,214.72/3,059.76 = 2,039.76/x
  3. Step 3: Cross multiply
    2,214.72x = 3,059.76 × 2,039.76
  4. Step 4: Simplify right side
    2,214.72x = 6,241,176.06
  5. Step 5: Solve for x
    x = 6,241,176.06/2,214.72
  6. Step 6: Final answer
    x = 2,818.04

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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.