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Finding the Fourth Proportional to 2,109.90, 3,163.20 and 1,288.02

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Solution

The fourth proportional to 2,109.90, 3,163.20 and 1,288.02 is: 1,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.90 : 3,163.20 = 1,288.02 : x
  2. Step 2: Convert to fraction form
    2,109.90/3,163.20 = 1,288.02/x
  3. Step 3: Cross multiply
    2,109.90x = 3,163.20 × 1,288.02
  4. Step 4: Simplify right side
    2,109.90x = 4,074,264.86
  5. Step 5: Solve for x
    x = 4,074,264.86/2,109.90
  6. Step 6: Final answer
    x = 1,931.02

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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.