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Finding the Fourth Proportional to 1,647.83, 2,472.03 and 552.30

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Solution

The fourth proportional to 1,647.83, 2,472.03 and 552.30 is: 828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.83 : 2,472.03 = 552.30 : x
  2. Step 2: Convert to fraction form
    1,647.83/2,472.03 = 552.30/x
  3. Step 3: Cross multiply
    1,647.83x = 2,472.03 × 552.30
  4. Step 4: Simplify right side
    1,647.83x = 1,365,302.17
  5. Step 5: Solve for x
    x = 1,365,302.17/1,647.83
  6. Step 6: Final answer
    x = 828.55

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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.