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Finding the Fourth Proportional to 3,190.26, 4,402.05 and 1,931.10

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Solution

The fourth proportional to 3,190.26, 4,402.05 and 1,931.10 is: 2,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.26 : 4,402.05 = 1,931.10 : x
  2. Step 2: Convert to fraction form
    3,190.26/4,402.05 = 1,931.10/x
  3. Step 3: Cross multiply
    3,190.26x = 4,402.05 × 1,931.10
  4. Step 4: Simplify right side
    3,190.26x = 8,500,798.76
  5. Step 5: Solve for x
    x = 8,500,798.76/3,190.26
  6. Step 6: Final answer
    x = 2,664.61

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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.