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Finding the Fourth Proportional to 4,243.31, 6,362.90 and 1,470.14

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Solution

The fourth proportional to 4,243.31, 6,362.90 and 1,470.14 is: 2,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.31 : 6,362.90 = 1,470.14 : x
  2. Step 2: Convert to fraction form
    4,243.31/6,362.90 = 1,470.14/x
  3. Step 3: Cross multiply
    4,243.31x = 6,362.90 × 1,470.14
  4. Step 4: Simplify right side
    4,243.31x = 9,354,353.81
  5. Step 5: Solve for x
    x = 9,354,353.81/4,243.31
  6. Step 6: Final answer
    x = 2,204.49

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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.