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Finding the Fourth Proportional to 2,534.09, 3,801.20 and 802.71

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Solution

The fourth proportional to 2,534.09, 3,801.20 and 802.71 is: 1,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.09 : 3,801.20 = 802.71 : x
  2. Step 2: Convert to fraction form
    2,534.09/3,801.20 = 802.71/x
  3. Step 3: Cross multiply
    2,534.09x = 3,801.20 × 802.71
  4. Step 4: Simplify right side
    2,534.09x = 3,051,257.24
  5. Step 5: Solve for x
    x = 3,051,257.24/2,534.09
  6. Step 6: Final answer
    x = 1,204.09

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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.