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Finding the Fourth Proportional to 3,159.17, 4,739.51 and 967.89

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Solution

The fourth proportional to 3,159.17, 4,739.51 and 967.89 is: 1,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.17 : 4,739.51 = 967.89 : x
  2. Step 2: Convert to fraction form
    3,159.17/4,739.51 = 967.89/x
  3. Step 3: Cross multiply
    3,159.17x = 4,739.51 × 967.89
  4. Step 4: Simplify right side
    3,159.17x = 4,587,324.33
  5. Step 5: Solve for x
    x = 4,587,324.33/3,159.17
  6. Step 6: Final answer
    x = 1,452.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.