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Finding the Fourth Proportional to 3,159.02, 4,738.71 and 967.77

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Solution

The fourth proportional to 3,159.02, 4,738.71 and 967.77 is: 1,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.02 : 4,738.71 = 967.77 : x
  2. Step 2: Convert to fraction form
    3,159.02/4,738.71 = 967.77/x
  3. Step 3: Cross multiply
    3,159.02x = 4,738.71 × 967.77
  4. Step 4: Simplify right side
    3,159.02x = 4,585,957.68
  5. Step 5: Solve for x
    x = 4,585,957.68/3,159.02
  6. Step 6: Final answer
    x = 1,451.70

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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.