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Finding the Fourth Proportional to 1,596.81, 2,394.90 and 730.92

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Solution

The fourth proportional to 1,596.81, 2,394.90 and 730.92 is: 1,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.81 : 2,394.90 = 730.92 : x
  2. Step 2: Convert to fraction form
    1,596.81/2,394.90 = 730.92/x
  3. Step 3: Cross multiply
    1,596.81x = 2,394.90 × 730.92
  4. Step 4: Simplify right side
    1,596.81x = 1,750,480.31
  5. Step 5: Solve for x
    x = 1,750,480.31/1,596.81
  6. Step 6: Final answer
    x = 1,096.24

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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.