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Finding the Fourth Proportional to 2,503.96, 3,452.32 and 1,606.11

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Solution

The fourth proportional to 2,503.96, 3,452.32 and 1,606.11 is: 2,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.96 : 3,452.32 = 1,606.11 : x
  2. Step 2: Convert to fraction form
    2,503.96/3,452.32 = 1,606.11/x
  3. Step 3: Cross multiply
    2,503.96x = 3,452.32 × 1,606.11
  4. Step 4: Simplify right side
    2,503.96x = 5,544,805.12
  5. Step 5: Solve for x
    x = 5,544,805.12/2,503.96
  6. Step 6: Final answer
    x = 2,214.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.