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Finding the Fourth Proportional to 2,835.74, 3,913.22 and 1,640.72

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Solution

The fourth proportional to 2,835.74, 3,913.22 and 1,640.72 is: 2,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.74 : 3,913.22 = 1,640.72 : x
  2. Step 2: Convert to fraction form
    2,835.74/3,913.22 = 1,640.72/x
  3. Step 3: Cross multiply
    2,835.74x = 3,913.22 × 1,640.72
  4. Step 4: Simplify right side
    2,835.74x = 6,420,470.55
  5. Step 5: Solve for x
    x = 6,420,470.55/2,835.74
  6. Step 6: Final answer
    x = 2,264.13

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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.