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Finding the Fourth Proportional to 2,011.40, 2,768.18 and 1,659.40

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Solution

The fourth proportional to 2,011.40, 2,768.18 and 1,659.40 is: 2,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.40 : 2,768.18 = 1,659.40 : x
  2. Step 2: Convert to fraction form
    2,011.40/2,768.18 = 1,659.40/x
  3. Step 3: Cross multiply
    2,011.40x = 2,768.18 × 1,659.40
  4. Step 4: Simplify right side
    2,011.40x = 4,593,517.89
  5. Step 5: Solve for x
    x = 4,593,517.89/2,011.40
  6. Step 6: Final answer
    x = 2,283.74

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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.