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Finding the Fourth Proportional to 2,498.18, 3,746.48 and 742.75

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Solution

The fourth proportional to 2,498.18, 3,746.48 and 742.75 is: 1,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.18 : 3,746.48 = 742.75 : x
  2. Step 2: Convert to fraction form
    2,498.18/3,746.48 = 742.75/x
  3. Step 3: Cross multiply
    2,498.18x = 3,746.48 × 742.75
  4. Step 4: Simplify right side
    2,498.18x = 2,782,684.94
  5. Step 5: Solve for x
    x = 2,782,684.94/2,498.18
  6. Step 6: Final answer
    x = 1,113.89

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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.