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Finding the Fourth Proportional to 3,159.19, 4,739.83 and 967.94

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Solution

The fourth proportional to 3,159.19, 4,739.83 and 967.94 is: 1,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.19 : 4,739.83 = 967.94 : x
  2. Step 2: Convert to fraction form
    3,159.19/4,739.83 = 967.94/x
  3. Step 3: Cross multiply
    3,159.19x = 4,739.83 × 967.94
  4. Step 4: Simplify right side
    3,159.19x = 4,587,844.93
  5. Step 5: Solve for x
    x = 4,587,844.93/3,159.19
  6. Step 6: Final answer
    x = 1,452.22

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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.