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Finding the Fourth Proportional to 2,396.84, 3,595.27 and 665.47

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Solution

The fourth proportional to 2,396.84, 3,595.27 and 665.47 is: 998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.84 : 3,595.27 = 665.47 : x
  2. Step 2: Convert to fraction form
    2,396.84/3,595.27 = 665.47/x
  3. Step 3: Cross multiply
    2,396.84x = 3,595.27 × 665.47
  4. Step 4: Simplify right side
    2,396.84x = 2,392,533.68
  5. Step 5: Solve for x
    x = 2,392,533.68/2,396.84
  6. Step 6: Final answer
    x = 998.20

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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.