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Finding the Fourth Proportional to 2,498.28, 3,746.77 and 742.81

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Solution

The fourth proportional to 2,498.28, 3,746.77 and 742.81 is: 1,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.28 : 3,746.77 = 742.81 : x
  2. Step 2: Convert to fraction form
    2,498.28/3,746.77 = 742.81/x
  3. Step 3: Cross multiply
    2,498.28x = 3,746.77 × 742.81
  4. Step 4: Simplify right side
    2,498.28x = 2,783,137.45
  5. Step 5: Solve for x
    x = 2,783,137.45/2,498.28
  6. Step 6: Final answer
    x = 1,114.02

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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.