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Finding the Fourth Proportional to 2,110.93, 3,166.40 and 649.89

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Solution

The fourth proportional to 2,110.93, 3,166.40 and 649.89 is: 974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.93 : 3,166.40 = 649.89 : x
  2. Step 2: Convert to fraction form
    2,110.93/3,166.40 = 649.89/x
  3. Step 3: Cross multiply
    2,110.93x = 3,166.40 × 649.89
  4. Step 4: Simplify right side
    2,110.93x = 2,057,813.32
  5. Step 5: Solve for x
    x = 2,057,813.32/2,110.93
  6. Step 6: Final answer
    x = 974.84

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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.