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Finding the Fourth Proportional to 2,598.89, 3,894.68 and 1,731.38

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Solution

The fourth proportional to 2,598.89, 3,894.68 and 1,731.38 is: 2,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.89 : 3,894.68 = 1,731.38 : x
  2. Step 2: Convert to fraction form
    2,598.89/3,894.68 = 1,731.38/x
  3. Step 3: Cross multiply
    2,598.89x = 3,894.68 × 1,731.38
  4. Step 4: Simplify right side
    2,598.89x = 6,743,155.91
  5. Step 5: Solve for x
    x = 6,743,155.91/2,598.89
  6. Step 6: Final answer
    x = 2,594.63

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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.