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Finding the Fourth Proportional to 2,087.22, 3,129.81 and 788.79

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Solution

The fourth proportional to 2,087.22, 3,129.81 and 788.79 is: 1,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.22 : 3,129.81 = 788.79 : x
  2. Step 2: Convert to fraction form
    2,087.22/3,129.81 = 788.79/x
  3. Step 3: Cross multiply
    2,087.22x = 3,129.81 × 788.79
  4. Step 4: Simplify right side
    2,087.22x = 2,468,762.83
  5. Step 5: Solve for x
    x = 2,468,762.83/2,087.22
  6. Step 6: Final answer
    x = 1,182.80

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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.