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Finding the Fourth Proportional to 2,294.99, 3,166.05 and 1,410.47

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Solution

The fourth proportional to 2,294.99, 3,166.05 and 1,410.47 is: 1,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.99 : 3,166.05 = 1,410.47 : x
  2. Step 2: Convert to fraction form
    2,294.99/3,166.05 = 1,410.47/x
  3. Step 3: Cross multiply
    2,294.99x = 3,166.05 × 1,410.47
  4. Step 4: Simplify right side
    2,294.99x = 4,465,618.54
  5. Step 5: Solve for x
    x = 4,465,618.54/2,294.99
  6. Step 6: Final answer
    x = 1,945.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.