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Finding the Fourth Proportional to 2,399.06, 3,598.59 and 1,031.06

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Solution

The fourth proportional to 2,399.06, 3,598.59 and 1,031.06 is: 1,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.06 : 3,598.59 = 1,031.06 : x
  2. Step 2: Convert to fraction form
    2,399.06/3,598.59 = 1,031.06/x
  3. Step 3: Cross multiply
    2,399.06x = 3,598.59 × 1,031.06
  4. Step 4: Simplify right side
    2,399.06x = 3,710,375.07
  5. Step 5: Solve for x
    x = 3,710,375.07/2,399.06
  6. Step 6: Final answer
    x = 1,546.59

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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.