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Finding the Fourth Proportional to 2,502.39, 3,749.22 and 1,625.76

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Solution

The fourth proportional to 2,502.39, 3,749.22 and 1,625.76 is: 2,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.39 : 3,749.22 = 1,625.76 : x
  2. Step 2: Convert to fraction form
    2,502.39/3,749.22 = 1,625.76/x
  3. Step 3: Cross multiply
    2,502.39x = 3,749.22 × 1,625.76
  4. Step 4: Simplify right side
    2,502.39x = 6,095,331.91
  5. Step 5: Solve for x
    x = 6,095,331.91/2,502.39
  6. Step 6: Final answer
    x = 2,435.80

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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.