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Finding the Fourth Proportional to 2,462.12, 3,695.34 and 1,597.40

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Solution

The fourth proportional to 2,462.12, 3,695.34 and 1,597.40 is: 2,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.12 : 3,695.34 = 1,597.40 : x
  2. Step 2: Convert to fraction form
    2,462.12/3,695.34 = 1,597.40/x
  3. Step 3: Cross multiply
    2,462.12x = 3,695.34 × 1,597.40
  4. Step 4: Simplify right side
    2,462.12x = 5,902,936.12
  5. Step 5: Solve for x
    x = 5,902,936.12/2,462.12
  6. Step 6: Final answer
    x = 2,397.50

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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.