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Finding the Fourth Proportional to 3,242.69, 4,866.39 and 1,295.45

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Solution

The fourth proportional to 3,242.69, 4,866.39 and 1,295.45 is: 1,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.69 : 4,866.39 = 1,295.45 : x
  2. Step 2: Convert to fraction form
    3,242.69/4,866.39 = 1,295.45/x
  3. Step 3: Cross multiply
    3,242.69x = 4,866.39 × 1,295.45
  4. Step 4: Simplify right side
    3,242.69x = 6,304,140.59
  5. Step 5: Solve for x
    x = 6,304,140.59/3,242.69
  6. Step 6: Final answer
    x = 1,944.11

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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.