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Finding the Fourth Proportional to 1,651.08, 2,471.76 and 1,101.90

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Solution

The fourth proportional to 1,651.08, 2,471.76 and 1,101.90 is: 1,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.08 : 2,471.76 = 1,101.90 : x
  2. Step 2: Convert to fraction form
    1,651.08/2,471.76 = 1,101.90/x
  3. Step 3: Cross multiply
    1,651.08x = 2,471.76 × 1,101.90
  4. Step 4: Simplify right side
    1,651.08x = 2,723,632.34
  5. Step 5: Solve for x
    x = 2,723,632.34/1,651.08
  6. Step 6: Final answer
    x = 1,649.61

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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.