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Finding the Fourth Proportional to 1,824.40, 2,736.29 and 654.15

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Solution

The fourth proportional to 1,824.40, 2,736.29 and 654.15 is: 981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.40 : 2,736.29 = 654.15 : x
  2. Step 2: Convert to fraction form
    1,824.40/2,736.29 = 654.15/x
  3. Step 3: Cross multiply
    1,824.40x = 2,736.29 × 654.15
  4. Step 4: Simplify right side
    1,824.40x = 1,789,945.74
  5. Step 5: Solve for x
    x = 1,789,945.74/1,824.40
  6. Step 6: Final answer
    x = 981.12

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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.