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Finding the Fourth Proportional to 2,534.25, 3,801.57 and 802.89

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Solution

The fourth proportional to 2,534.25, 3,801.57 and 802.89 is: 1,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.25 : 3,801.57 = 802.89 : x
  2. Step 2: Convert to fraction form
    2,534.25/3,801.57 = 802.89/x
  3. Step 3: Cross multiply
    2,534.25x = 3,801.57 × 802.89
  4. Step 4: Simplify right side
    2,534.25x = 3,052,242.54
  5. Step 5: Solve for x
    x = 3,052,242.54/2,534.25
  6. Step 6: Final answer
    x = 1,204.40

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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.