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Finding the Fourth Proportional to 1,541.89, 2,128.04 and 878.81

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Solution

The fourth proportional to 1,541.89, 2,128.04 and 878.81 is: 1,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.89 : 2,128.04 = 878.81 : x
  2. Step 2: Convert to fraction form
    1,541.89/2,128.04 = 878.81/x
  3. Step 3: Cross multiply
    1,541.89x = 2,128.04 × 878.81
  4. Step 4: Simplify right side
    1,541.89x = 1,870,142.83
  5. Step 5: Solve for x
    x = 1,870,142.83/1,541.89
  6. Step 6: Final answer
    x = 1,212.89

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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.