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Finding the Fourth Proportional to 2,498.96, 3,750.74 and 2,348.25

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Solution

The fourth proportional to 2,498.96, 3,750.74 and 2,348.25 is: 3,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.96 : 3,750.74 = 2,348.25 : x
  2. Step 2: Convert to fraction form
    2,498.96/3,750.74 = 2,348.25/x
  3. Step 3: Cross multiply
    2,498.96x = 3,750.74 × 2,348.25
  4. Step 4: Simplify right side
    2,498.96x = 8,807,663.46
  5. Step 5: Solve for x
    x = 8,807,663.46/2,498.96
  6. Step 6: Final answer
    x = 3,524.54

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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.