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Finding the Fourth Proportional to 3,490.95, 4,816.30 and 2,232.74

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Solution

The fourth proportional to 3,490.95, 4,816.30 and 2,232.74 is: 3,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.95 : 4,816.30 = 2,232.74 : x
  2. Step 2: Convert to fraction form
    3,490.95/4,816.30 = 2,232.74/x
  3. Step 3: Cross multiply
    3,490.95x = 4,816.30 × 2,232.74
  4. Step 4: Simplify right side
    3,490.95x = 10,753,539.62
  5. Step 5: Solve for x
    x = 10,753,539.62/3,490.95
  6. Step 6: Final answer
    x = 3,080.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.