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Finding the Fourth Proportional to 2,110.23, 3,165.71 and 649.11

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Solution

The fourth proportional to 2,110.23, 3,165.71 and 649.11 is: 973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.23 : 3,165.71 = 649.11 : x
  2. Step 2: Convert to fraction form
    2,110.23/3,165.71 = 649.11/x
  3. Step 3: Cross multiply
    2,110.23x = 3,165.71 × 649.11
  4. Step 4: Simplify right side
    2,110.23x = 2,054,890.77
  5. Step 5: Solve for x
    x = 2,054,890.77/2,110.23
  6. Step 6: Final answer
    x = 973.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.