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Finding the Fourth Proportional to 1,596.31, 2,394.46 and 542.19

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Solution

The fourth proportional to 1,596.31, 2,394.46 and 542.19 is: 813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.31 : 2,394.46 = 542.19 : x
  2. Step 2: Convert to fraction form
    1,596.31/2,394.46 = 542.19/x
  3. Step 3: Cross multiply
    1,596.31x = 2,394.46 × 542.19
  4. Step 4: Simplify right side
    1,596.31x = 1,298,261.92
  5. Step 5: Solve for x
    x = 1,298,261.92/1,596.31
  6. Step 6: Final answer
    x = 813.29

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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.