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Finding the Fourth Proportional to 2,490.70, 3,736.86 and 848.30

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Solution

The fourth proportional to 2,490.70, 3,736.86 and 848.30 is: 1,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.70 : 3,736.86 = 848.30 : x
  2. Step 2: Convert to fraction form
    2,490.70/3,736.86 = 848.30/x
  3. Step 3: Cross multiply
    2,490.70x = 3,736.86 × 848.30
  4. Step 4: Simplify right side
    2,490.70x = 3,169,978.34
  5. Step 5: Solve for x
    x = 3,169,978.34/2,490.70
  6. Step 6: Final answer
    x = 1,272.73

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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.