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Finding the Fourth Proportional to 1,647.70, 2,471.64 and 551.97

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Solution

The fourth proportional to 1,647.70, 2,471.64 and 551.97 is: 827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.70 : 2,471.64 = 551.97 : x
  2. Step 2: Convert to fraction form
    1,647.70/2,471.64 = 551.97/x
  3. Step 3: Cross multiply
    1,647.70x = 2,471.64 × 551.97
  4. Step 4: Simplify right side
    1,647.70x = 1,364,271.13
  5. Step 5: Solve for x
    x = 1,364,271.13/1,647.70
  6. Step 6: Final answer
    x = 827.99

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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.