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Finding the Fourth Proportional to 1,851.24, 2,777.28 and 552.72

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Solution

The fourth proportional to 1,851.24, 2,777.28 and 552.72 is: 829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.24 : 2,777.28 = 552.72 : x
  2. Step 2: Convert to fraction form
    1,851.24/2,777.28 = 552.72/x
  3. Step 3: Cross multiply
    1,851.24x = 2,777.28 × 552.72
  4. Step 4: Simplify right side
    1,851.24x = 1,535,058.20
  5. Step 5: Solve for x
    x = 1,535,058.20/1,851.24
  6. Step 6: Final answer
    x = 829.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.