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Finding the Fourth Proportional to 2,008.62, 2,753.85 and 1,971.63

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Solution

The fourth proportional to 2,008.62, 2,753.85 and 1,971.63 is: 2,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.62 : 2,753.85 = 1,971.63 : x
  2. Step 2: Convert to fraction form
    2,008.62/2,753.85 = 1,971.63/x
  3. Step 3: Cross multiply
    2,008.62x = 2,753.85 × 1,971.63
  4. Step 4: Simplify right side
    2,008.62x = 5,429,573.28
  5. Step 5: Solve for x
    x = 5,429,573.28/2,008.62
  6. Step 6: Final answer
    x = 2,703.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.