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Finding the Fourth Proportional to 1,596.58, 2,395.86 and 730.96

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Solution

The fourth proportional to 1,596.58, 2,395.86 and 730.96 is: 1,096.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.58 : 2,395.86 = 730.96 : x
  2. Step 2: Convert to fraction form
    1,596.58/2,395.86 = 730.96/x
  3. Step 3: Cross multiply
    1,596.58x = 2,395.86 × 730.96
  4. Step 4: Simplify right side
    1,596.58x = 1,751,277.83
  5. Step 5: Solve for x
    x = 1,751,277.83/1,596.58
  6. Step 6: Final answer
    x = 1,096.89

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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.