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Finding the Fourth Proportional to 3,159.82, 4,740.65 and 968.87

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Solution

The fourth proportional to 3,159.82, 4,740.65 and 968.87 is: 1,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.82 : 4,740.65 = 968.87 : x
  2. Step 2: Convert to fraction form
    3,159.82/4,740.65 = 968.87/x
  3. Step 3: Cross multiply
    3,159.82x = 4,740.65 × 968.87
  4. Step 4: Simplify right side
    3,159.82x = 4,593,084.21
  5. Step 5: Solve for x
    x = 4,593,084.21/3,159.82
  6. Step 6: Final answer
    x = 1,453.59

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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.