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Finding the Fourth Proportional to 2,660.75, 3,674.16 and 1,667.74

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Solution

The fourth proportional to 2,660.75, 3,674.16 and 1,667.74 is: 2,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.75 : 3,674.16 = 1,667.74 : x
  2. Step 2: Convert to fraction form
    2,660.75/3,674.16 = 1,667.74/x
  3. Step 3: Cross multiply
    2,660.75x = 3,674.16 × 1,667.74
  4. Step 4: Simplify right side
    2,660.75x = 6,127,543.60
  5. Step 5: Solve for x
    x = 6,127,543.60/2,660.75
  6. Step 6: Final answer
    x = 2,302.94

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Half scale
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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.