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Finding the Fourth Proportional to 2,283.17, 3,424.76 and 551.80

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Solution

The fourth proportional to 2,283.17, 3,424.76 and 551.80 is: 827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.17 : 3,424.76 = 551.80 : x
  2. Step 2: Convert to fraction form
    2,283.17/3,424.76 = 551.80/x
  3. Step 3: Cross multiply
    2,283.17x = 3,424.76 × 551.80
  4. Step 4: Simplify right side
    2,283.17x = 1,889,762.69
  5. Step 5: Solve for x
    x = 1,889,762.69/2,283.17
  6. Step 6: Final answer
    x = 827.69

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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.