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Finding the Fourth Proportional to 1,647.81, 2,471.74 and 552.18

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Solution

The fourth proportional to 1,647.81, 2,471.74 and 552.18 is: 828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.81 : 2,471.74 = 552.18 : x
  2. Step 2: Convert to fraction form
    1,647.81/2,471.74 = 552.18/x
  3. Step 3: Cross multiply
    1,647.81x = 2,471.74 × 552.18
  4. Step 4: Simplify right side
    1,647.81x = 1,364,844.01
  5. Step 5: Solve for x
    x = 1,364,844.01/1,647.81
  6. Step 6: Final answer
    x = 828.28

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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.