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Finding the Fourth Proportional to 3,196.65, 4,793.34 and 1,440.15

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Solution

The fourth proportional to 3,196.65, 4,793.34 and 1,440.15 is: 2,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.65 : 4,793.34 = 1,440.15 : x
  2. Step 2: Convert to fraction form
    3,196.65/4,793.34 = 1,440.15/x
  3. Step 3: Cross multiply
    3,196.65x = 4,793.34 × 1,440.15
  4. Step 4: Simplify right side
    3,196.65x = 6,903,128.60
  5. Step 5: Solve for x
    x = 6,903,128.60/3,196.65
  6. Step 6: Final answer
    x = 2,159.49

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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.