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Finding the Fourth Proportional to 2,885.84, 3,980.96 and 1,704.86

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Solution

The fourth proportional to 2,885.84, 3,980.96 and 1,704.86 is: 2,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.84 : 3,980.96 = 1,704.86 : x
  2. Step 2: Convert to fraction form
    2,885.84/3,980.96 = 1,704.86/x
  3. Step 3: Cross multiply
    2,885.84x = 3,980.96 × 1,704.86
  4. Step 4: Simplify right side
    2,885.84x = 6,786,979.47
  5. Step 5: Solve for x
    x = 6,786,979.47/2,885.84
  6. Step 6: Final answer
    x = 2,351.82

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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.