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Finding the Fourth Proportional to 2,436, 3,362.76 and 1,597.92

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Solution

The fourth proportional to 2,436, 3,362.76 and 1,597.92 is: 2,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436 : 3,362.76 = 1,597.92 : x
  2. Step 2: Convert to fraction form
    2,436/3,362.76 = 1,597.92/x
  3. Step 3: Cross multiply
    2,436x = 3,362.76 × 1,597.92
  4. Step 4: Simplify right side
    2,436x = 5,373,421.46
  5. Step 5: Solve for x
    x = 5,373,421.46/2,436
  6. Step 6: Final answer
    x = 2,205.84

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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.