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Finding the Fourth Proportional to 2,110.61, 3,165.99 and 649.72

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Solution

The fourth proportional to 2,110.61, 3,165.99 and 649.72 is: 974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.61 : 3,165.99 = 649.72 : x
  2. Step 2: Convert to fraction form
    2,110.61/3,165.99 = 649.72/x
  3. Step 3: Cross multiply
    2,110.61x = 3,165.99 × 649.72
  4. Step 4: Simplify right side
    2,110.61x = 2,057,008.54
  5. Step 5: Solve for x
    x = 2,057,008.54/2,110.61
  6. Step 6: Final answer
    x = 974.61

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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.