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Finding the Fourth Proportional to 2,717.89, 3,750.68 and 1,598.83

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Solution

The fourth proportional to 2,717.89, 3,750.68 and 1,598.83 is: 2,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.89 : 3,750.68 = 1,598.83 : x
  2. Step 2: Convert to fraction form
    2,717.89/3,750.68 = 1,598.83/x
  3. Step 3: Cross multiply
    2,717.89x = 3,750.68 × 1,598.83
  4. Step 4: Simplify right side
    2,717.89x = 5,996,694.32
  5. Step 5: Solve for x
    x = 5,996,694.32/2,717.89
  6. Step 6: Final answer
    x = 2,206.38

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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.