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Finding the Fourth Proportional to 1,647.51, 2,471.36 and 551.78

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Solution

The fourth proportional to 1,647.51, 2,471.36 and 551.78 is: 827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.51 : 2,471.36 = 551.78 : x
  2. Step 2: Convert to fraction form
    1,647.51/2,471.36 = 551.78/x
  3. Step 3: Cross multiply
    1,647.51x = 2,471.36 × 551.78
  4. Step 4: Simplify right side
    1,647.51x = 1,363,640.84
  5. Step 5: Solve for x
    x = 1,363,640.84/1,647.51
  6. Step 6: Final answer
    x = 827.70

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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.