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Finding the Fourth Proportional to 3,230.60, 4,847.04 and 1,283

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Solution

The fourth proportional to 3,230.60, 4,847.04 and 1,283 is: 1,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.60 : 4,847.04 = 1,283 : x
  2. Step 2: Convert to fraction form
    3,230.60/4,847.04 = 1,283/x
  3. Step 3: Cross multiply
    3,230.60x = 4,847.04 × 1,283
  4. Step 4: Simplify right side
    3,230.60x = 6,218,752.32
  5. Step 5: Solve for x
    x = 6,218,752.32/3,230.60
  6. Step 6: Final answer
    x = 1,924.95

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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.