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Finding the Fourth Proportional to 2,490.86, 3,733.25 and 1,102.61

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Solution

The fourth proportional to 2,490.86, 3,733.25 and 1,102.61 is: 1,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.86 : 3,733.25 = 1,102.61 : x
  2. Step 2: Convert to fraction form
    2,490.86/3,733.25 = 1,102.61/x
  3. Step 3: Cross multiply
    2,490.86x = 3,733.25 × 1,102.61
  4. Step 4: Simplify right side
    2,490.86x = 4,116,294.60
  5. Step 5: Solve for x
    x = 4,116,294.60/2,490.86
  6. Step 6: Final answer
    x = 1,652.56

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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.