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Finding the Fourth Proportional to 4,243.50, 6,365.61 and 1,165.50

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Solution

The fourth proportional to 4,243.50, 6,365.61 and 1,165.50 is: 1,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.50 : 6,365.61 = 1,165.50 : x
  2. Step 2: Convert to fraction form
    4,243.50/6,365.61 = 1,165.50/x
  3. Step 3: Cross multiply
    4,243.50x = 6,365.61 × 1,165.50
  4. Step 4: Simplify right side
    4,243.50x = 7,419,118.46
  5. Step 5: Solve for x
    x = 7,419,118.46/4,243.50
  6. Step 6: Final answer
    x = 1,748.35

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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.