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Finding the Fourth Proportional to 2,494.83, 3,746.58 and 2,062.83

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Solution

The fourth proportional to 2,494.83, 3,746.58 and 2,062.83 is: 3,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.83 : 3,746.58 = 2,062.83 : x
  2. Step 2: Convert to fraction form
    2,494.83/3,746.58 = 2,062.83/x
  3. Step 3: Cross multiply
    2,494.83x = 3,746.58 × 2,062.83
  4. Step 4: Simplify right side
    2,494.83x = 7,728,557.62
  5. Step 5: Solve for x
    x = 7,728,557.62/2,494.83
  6. Step 6: Final answer
    x = 3,097.83

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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.