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Finding the Fourth Proportional to 1,216.36, 1,824.60 and 395.17

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Solution

The fourth proportional to 1,216.36, 1,824.60 and 395.17 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.36 : 1,824.60 = 395.17 : x
  2. Step 2: Convert to fraction form
    1,216.36/1,824.60 = 395.17/x
  3. Step 3: Cross multiply
    1,216.36x = 1,824.60 × 395.17
  4. Step 4: Simplify right side
    1,216.36x = 721,027.18
  5. Step 5: Solve for x
    x = 721,027.18/1,216.36
  6. Step 6: Final answer
    x = 592.77

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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.