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Finding the Fourth Proportional to 1,542.16, 2,128.16 and 879.04

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Solution

The fourth proportional to 1,542.16, 2,128.16 and 879.04 is: 1,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.16 : 2,128.16 = 879.04 : x
  2. Step 2: Convert to fraction form
    1,542.16/2,128.16 = 879.04/x
  3. Step 3: Cross multiply
    1,542.16x = 2,128.16 × 879.04
  4. Step 4: Simplify right side
    1,542.16x = 1,870,737.77
  5. Step 5: Solve for x
    x = 1,870,737.77/1,542.16
  6. Step 6: Final answer
    x = 1,213.06

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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.