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Finding the Fourth Proportional to 2,110.98, 3,165.32 and 649.74

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Solution

The fourth proportional to 2,110.98, 3,165.32 and 649.74 is: 974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.98 : 3,165.32 = 649.74 : x
  2. Step 2: Convert to fraction form
    2,110.98/3,165.32 = 649.74/x
  3. Step 3: Cross multiply
    2,110.98x = 3,165.32 × 649.74
  4. Step 4: Simplify right side
    2,110.98x = 2,056,635.02
  5. Step 5: Solve for x
    x = 2,056,635.02/2,110.98
  6. Step 6: Final answer
    x = 974.26

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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.