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Finding the Fourth Proportional to 7,731, 11,598.42 and 2,259

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Solution

The fourth proportional to 7,731, 11,598.42 and 2,259 is: 3,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731 : 11,598.42 = 2,259 : x
  2. Step 2: Convert to fraction form
    7,731/11,598.42 = 2,259/x
  3. Step 3: Cross multiply
    7,731x = 11,598.42 × 2,259
  4. Step 4: Simplify right side
    7,731x = 26,200,830.78
  5. Step 5: Solve for x
    x = 26,200,830.78/7,731
  6. Step 6: Final answer
    x = 3,389.06

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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.