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Finding the Fourth Proportional to 2,110.52, 3,166.14 and 649.64

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Solution

The fourth proportional to 2,110.52, 3,166.14 and 649.64 is: 974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.52 : 3,166.14 = 649.64 : x
  2. Step 2: Convert to fraction form
    2,110.52/3,166.14 = 649.64/x
  3. Step 3: Cross multiply
    2,110.52x = 3,166.14 × 649.64
  4. Step 4: Simplify right side
    2,110.52x = 2,056,841.65
  5. Step 5: Solve for x
    x = 2,056,841.65/2,110.52
  6. Step 6: Final answer
    x = 974.57

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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.