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Finding the Fourth Proportional to 2,396.70, 3,596.44 and 1,009.93

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Solution

The fourth proportional to 2,396.70, 3,596.44 and 1,009.93 is: 1,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.70 : 3,596.44 = 1,009.93 : x
  2. Step 2: Convert to fraction form
    2,396.70/3,596.44 = 1,009.93/x
  3. Step 3: Cross multiply
    2,396.70x = 3,596.44 × 1,009.93
  4. Step 4: Simplify right side
    2,396.70x = 3,632,153.41
  5. Step 5: Solve for x
    x = 3,632,153.41/2,396.70
  6. Step 6: Final answer
    x = 1,515.48

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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.