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Finding the Fourth Proportional to 2,179.71, 3,007.80 and 1,283.58

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Solution

The fourth proportional to 2,179.71, 3,007.80 and 1,283.58 is: 1,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.71 : 3,007.80 = 1,283.58 : x
  2. Step 2: Convert to fraction form
    2,179.71/3,007.80 = 1,283.58/x
  3. Step 3: Cross multiply
    2,179.71x = 3,007.80 × 1,283.58
  4. Step 4: Simplify right side
    2,179.71x = 3,860,751.92
  5. Step 5: Solve for x
    x = 3,860,751.92/2,179.71
  6. Step 6: Final answer
    x = 1,771.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.