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Finding the Fourth Proportional to 2,454.78, 3,684.42 and 1,910.46

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Solution

The fourth proportional to 2,454.78, 3,684.42 and 1,910.46 is: 2,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.78 : 3,684.42 = 1,910.46 : x
  2. Step 2: Convert to fraction form
    2,454.78/3,684.42 = 1,910.46/x
  3. Step 3: Cross multiply
    2,454.78x = 3,684.42 × 1,910.46
  4. Step 4: Simplify right side
    2,454.78x = 7,038,937.03
  5. Step 5: Solve for x
    x = 7,038,937.03/2,454.78
  6. Step 6: Final answer
    x = 2,867.44

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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.