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Finding the Fourth Proportional to 2,398.89, 3,599.03 and 1,741.42

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Solution

The fourth proportional to 2,398.89, 3,599.03 and 1,741.42 is: 2,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.89 : 3,599.03 = 1,741.42 : x
  2. Step 2: Convert to fraction form
    2,398.89/3,599.03 = 1,741.42/x
  3. Step 3: Cross multiply
    2,398.89x = 3,599.03 × 1,741.42
  4. Step 4: Simplify right side
    2,398.89x = 6,267,441.80
  5. Step 5: Solve for x
    x = 6,267,441.80/2,398.89
  6. Step 6: Final answer
    x = 2,612.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.