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Finding the Fourth Proportional to 1,584.92, 2,187.20 and 876.81

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Solution

The fourth proportional to 1,584.92, 2,187.20 and 876.81 is: 1,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.92 : 2,187.20 = 876.81 : x
  2. Step 2: Convert to fraction form
    1,584.92/2,187.20 = 876.81/x
  3. Step 3: Cross multiply
    1,584.92x = 2,187.20 × 876.81
  4. Step 4: Simplify right side
    1,584.92x = 1,917,761.02
  5. Step 5: Solve for x
    x = 1,917,761.02/1,584.92
  6. Step 6: Final answer
    x = 1,210.00

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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.