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Finding the Fourth Proportional to 1,816.58, 2,724.89 and 500.31

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Solution

The fourth proportional to 1,816.58, 2,724.89 and 500.31 is: 750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.58 : 2,724.89 = 500.31 : x
  2. Step 2: Convert to fraction form
    1,816.58/2,724.89 = 500.31/x
  3. Step 3: Cross multiply
    1,816.58x = 2,724.89 × 500.31
  4. Step 4: Simplify right side
    1,816.58x = 1,363,287.21
  5. Step 5: Solve for x
    x = 1,363,287.21/1,816.58
  6. Step 6: Final answer
    x = 750.47

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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.