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Finding the Fourth Proportional to 2,602.86, 3,593.25 and 1,767.96

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Solution

The fourth proportional to 2,602.86, 3,593.25 and 1,767.96 is: 2,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.86 : 3,593.25 = 1,767.96 : x
  2. Step 2: Convert to fraction form
    2,602.86/3,593.25 = 1,767.96/x
  3. Step 3: Cross multiply
    2,602.86x = 3,593.25 × 1,767.96
  4. Step 4: Simplify right side
    2,602.86x = 6,352,722.27
  5. Step 5: Solve for x
    x = 6,352,722.27/2,602.86
  6. Step 6: Final answer
    x = 2,440.67

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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.