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Finding the Fourth Proportional to 1,966.34, 2,711.04 and 1,494.74

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Solution

The fourth proportional to 1,966.34, 2,711.04 and 1,494.74 is: 2,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.34 : 2,711.04 = 1,494.74 : x
  2. Step 2: Convert to fraction form
    1,966.34/2,711.04 = 1,494.74/x
  3. Step 3: Cross multiply
    1,966.34x = 2,711.04 × 1,494.74
  4. Step 4: Simplify right side
    1,966.34x = 4,052,299.93
  5. Step 5: Solve for x
    x = 4,052,299.93/1,966.34
  6. Step 6: Final answer
    x = 2,060.83

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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.