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Finding the Fourth Proportional to 2,609.91, 3,601.01 and 1,602.17

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Solution

The fourth proportional to 2,609.91, 3,601.01 and 1,602.17 is: 2,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.91 : 3,601.01 = 1,602.17 : x
  2. Step 2: Convert to fraction form
    2,609.91/3,601.01 = 1,602.17/x
  3. Step 3: Cross multiply
    2,609.91x = 3,601.01 × 1,602.17
  4. Step 4: Simplify right side
    2,609.91x = 5,769,404.18
  5. Step 5: Solve for x
    x = 5,769,404.18/2,609.91
  6. Step 6: Final answer
    x = 2,210.58

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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.