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Finding the Fourth Proportional to 2,490.86, 3,736.64 and 846.96

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Solution

The fourth proportional to 2,490.86, 3,736.64 and 846.96 is: 1,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.86 : 3,736.64 = 846.96 : x
  2. Step 2: Convert to fraction form
    2,490.86/3,736.64 = 846.96/x
  3. Step 3: Cross multiply
    2,490.86x = 3,736.64 × 846.96
  4. Step 4: Simplify right side
    2,490.86x = 3,164,784.61
  5. Step 5: Solve for x
    x = 3,164,784.61/2,490.86
  6. Step 6: Final answer
    x = 1,270.56

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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.