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Finding the Fourth Proportional to 2,600.94, 3,587.79 and 1,771.50

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Solution

The fourth proportional to 2,600.94, 3,587.79 and 1,771.50 is: 2,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.94 : 3,587.79 = 1,771.50 : x
  2. Step 2: Convert to fraction form
    2,600.94/3,587.79 = 1,771.50/x
  3. Step 3: Cross multiply
    2,600.94x = 3,587.79 × 1,771.50
  4. Step 4: Simplify right side
    2,600.94x = 6,355,769.99
  5. Step 5: Solve for x
    x = 6,355,769.99/2,600.94
  6. Step 6: Final answer
    x = 2,443.64

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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.