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Finding the Fourth Proportional to 3,971.64, 5,960.08 and 1,780.30

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Solution

The fourth proportional to 3,971.64, 5,960.08 and 1,780.30 is: 2,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.64 : 5,960.08 = 1,780.30 : x
  2. Step 2: Convert to fraction form
    3,971.64/5,960.08 = 1,780.30/x
  3. Step 3: Cross multiply
    3,971.64x = 5,960.08 × 1,780.30
  4. Step 4: Simplify right side
    3,971.64x = 10,610,730.42
  5. Step 5: Solve for x
    x = 10,610,730.42/3,971.64
  6. Step 6: Final answer
    x = 2,671.62

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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.