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Finding the Fourth Proportional to 2,188.79, 3,283.64 and 708.09

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Solution

The fourth proportional to 2,188.79, 3,283.64 and 708.09 is: 1,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.79 : 3,283.64 = 708.09 : x
  2. Step 2: Convert to fraction form
    2,188.79/3,283.64 = 708.09/x
  3. Step 3: Cross multiply
    2,188.79x = 3,283.64 × 708.09
  4. Step 4: Simplify right side
    2,188.79x = 2,325,109.11
  5. Step 5: Solve for x
    x = 2,325,109.11/2,188.79
  6. Step 6: Final answer
    x = 1,062.28

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1.5x scale

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.