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Finding the Fourth Proportional to 2,396.68, 3,594.81 and 1,009.96

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Solution

The fourth proportional to 2,396.68, 3,594.81 and 1,009.96 is: 1,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.68 : 3,594.81 = 1,009.96 : x
  2. Step 2: Convert to fraction form
    2,396.68/3,594.81 = 1,009.96/x
  3. Step 3: Cross multiply
    2,396.68x = 3,594.81 × 1,009.96
  4. Step 4: Simplify right side
    2,396.68x = 3,630,614.31
  5. Step 5: Solve for x
    x = 3,630,614.31/2,396.68
  6. Step 6: Final answer
    x = 1,514.85

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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.