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Finding the Fourth Proportional to 1,218.31, 1,827.15 and 352.42

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Solution

The fourth proportional to 1,218.31, 1,827.15 and 352.42 is: 528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.31 : 1,827.15 = 352.42 : x
  2. Step 2: Convert to fraction form
    1,218.31/1,827.15 = 352.42/x
  3. Step 3: Cross multiply
    1,218.31x = 1,827.15 × 352.42
  4. Step 4: Simplify right side
    1,218.31x = 643,924.20
  5. Step 5: Solve for x
    x = 643,924.20/1,218.31
  6. Step 6: Final answer
    x = 528.54

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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.