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Finding the Fourth Proportional to 3,267.65, 4,901.36 and 802.41

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Solution

The fourth proportional to 3,267.65, 4,901.36 and 802.41 is: 1,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.65 : 4,901.36 = 802.41 : x
  2. Step 2: Convert to fraction form
    3,267.65/4,901.36 = 802.41/x
  3. Step 3: Cross multiply
    3,267.65x = 4,901.36 × 802.41
  4. Step 4: Simplify right side
    3,267.65x = 3,932,896.27
  5. Step 5: Solve for x
    x = 3,932,896.27/3,267.65
  6. Step 6: Final answer
    x = 1,203.59

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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.