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Finding the Fourth Proportional to 2,436, 3,655.62 and 897

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Solution

The fourth proportional to 2,436, 3,655.62 and 897 is: 1,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436 : 3,655.62 = 897 : x
  2. Step 2: Convert to fraction form
    2,436/3,655.62 = 897/x
  3. Step 3: Cross multiply
    2,436x = 3,655.62 × 897
  4. Step 4: Simplify right side
    2,436x = 3,279,091.14
  5. Step 5: Solve for x
    x = 3,279,091.14/2,436
  6. Step 6: Final answer
    x = 1,346.10

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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.