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Finding the Fourth Proportional to 2,302.05, 3,452.97 and 1,606.71

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Solution

The fourth proportional to 2,302.05, 3,452.97 and 1,606.71 is: 2,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.05 : 3,452.97 = 1,606.71 : x
  2. Step 2: Convert to fraction form
    2,302.05/3,452.97 = 1,606.71/x
  3. Step 3: Cross multiply
    2,302.05x = 3,452.97 × 1,606.71
  4. Step 4: Simplify right side
    2,302.05x = 5,547,921.43
  5. Step 5: Solve for x
    x = 5,547,921.43/2,302.05
  6. Step 6: Final answer
    x = 2,409.99

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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.