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Finding the Fourth Proportional to 3,309.69, 4,964.50 and 1,001.19

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Solution

The fourth proportional to 3,309.69, 4,964.50 and 1,001.19 is: 1,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.69 : 4,964.50 = 1,001.19 : x
  2. Step 2: Convert to fraction form
    3,309.69/4,964.50 = 1,001.19/x
  3. Step 3: Cross multiply
    3,309.69x = 4,964.50 × 1,001.19
  4. Step 4: Simplify right side
    3,309.69x = 4,970,409.01
  5. Step 5: Solve for x
    x = 4,970,409.01/3,309.69
  6. Step 6: Final answer
    x = 1,501.77

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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.