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Finding the Fourth Proportional to 1,542.50, 2,128.59 and 879.22

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Solution

The fourth proportional to 1,542.50, 2,128.59 and 879.22 is: 1,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.50 : 2,128.59 = 879.22 : x
  2. Step 2: Convert to fraction form
    1,542.50/2,128.59 = 879.22/x
  3. Step 3: Cross multiply
    1,542.50x = 2,128.59 × 879.22
  4. Step 4: Simplify right side
    1,542.50x = 1,871,507.29
  5. Step 5: Solve for x
    x = 1,871,507.29/1,542.50
  6. Step 6: Final answer
    x = 1,213.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.