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Finding the Fourth Proportional to 4,242.81, 6,362.15 and 1,469.64

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Solution

The fourth proportional to 4,242.81, 6,362.15 and 1,469.64 is: 2,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.81 : 6,362.15 = 1,469.64 : x
  2. Step 2: Convert to fraction form
    4,242.81/6,362.15 = 1,469.64/x
  3. Step 3: Cross multiply
    4,242.81x = 6,362.15 × 1,469.64
  4. Step 4: Simplify right side
    4,242.81x = 9,350,070.13
  5. Step 5: Solve for x
    x = 9,350,070.13/4,242.81
  6. Step 6: Final answer
    x = 2,203.74

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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.