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Finding the Fourth Proportional to 2,704.18, 3,733.18 and 1,920.10

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Solution

The fourth proportional to 2,704.18, 3,733.18 and 1,920.10 is: 2,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.18 : 3,733.18 = 1,920.10 : x
  2. Step 2: Convert to fraction form
    2,704.18/3,733.18 = 1,920.10/x
  3. Step 3: Cross multiply
    2,704.18x = 3,733.18 × 1,920.10
  4. Step 4: Simplify right side
    2,704.18x = 7,168,078.92
  5. Step 5: Solve for x
    x = 7,168,078.92/2,704.18
  6. Step 6: Final answer
    x = 2,650.74

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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.