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Finding the Fourth Proportional to 1,851.32, 2,777.06 and 552.80

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Solution

The fourth proportional to 1,851.32, 2,777.06 and 552.80 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.32 : 2,777.06 = 552.80 : x
  2. Step 2: Convert to fraction form
    1,851.32/2,777.06 = 552.80/x
  3. Step 3: Cross multiply
    1,851.32x = 2,777.06 × 552.80
  4. Step 4: Simplify right side
    1,851.32x = 1,535,167.09
  5. Step 5: Solve for x
    x = 1,535,167.09/1,851.32
  6. Step 6: Final answer
    x = 829.23

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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.