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Finding the Fourth Proportional to 2,533.78, 3,801.28 and 802.41

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Solution

The fourth proportional to 2,533.78, 3,801.28 and 802.41 is: 1,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.78 : 3,801.28 = 802.41 : x
  2. Step 2: Convert to fraction form
    2,533.78/3,801.28 = 802.41/x
  3. Step 3: Cross multiply
    2,533.78x = 3,801.28 × 802.41
  4. Step 4: Simplify right side
    2,533.78x = 3,050,170.33
  5. Step 5: Solve for x
    x = 3,050,170.33/2,533.78
  6. Step 6: Final answer
    x = 1,203.80

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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.