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Finding the Fourth Proportional to 2,602.05, 3,898.05 and 2,016.72

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Solution

The fourth proportional to 2,602.05, 3,898.05 and 2,016.72 is: 3,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.05 : 3,898.05 = 2,016.72 : x
  2. Step 2: Convert to fraction form
    2,602.05/3,898.05 = 2,016.72/x
  3. Step 3: Cross multiply
    2,602.05x = 3,898.05 × 2,016.72
  4. Step 4: Simplify right side
    2,602.05x = 7,861,275.40
  5. Step 5: Solve for x
    x = 7,861,275.40/2,602.05
  6. Step 6: Final answer
    x = 3,021.19

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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.