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Finding the Fourth Proportional to 2,626.48, 3,934.86 and 1,894.24

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Solution

The fourth proportional to 2,626.48, 3,934.86 and 1,894.24 is: 2,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.48 : 3,934.86 = 1,894.24 : x
  2. Step 2: Convert to fraction form
    2,626.48/3,934.86 = 1,894.24/x
  3. Step 3: Cross multiply
    2,626.48x = 3,934.86 × 1,894.24
  4. Step 4: Simplify right side
    2,626.48x = 7,453,569.21
  5. Step 5: Solve for x
    x = 7,453,569.21/2,626.48
  6. Step 6: Final answer
    x = 2,837.85

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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.