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Finding the Fourth Proportional to 3,054.66, 4,214.77 and 2,299.24

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Solution

The fourth proportional to 3,054.66, 4,214.77 and 2,299.24 is: 3,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.66 : 4,214.77 = 2,299.24 : x
  2. Step 2: Convert to fraction form
    3,054.66/4,214.77 = 2,299.24/x
  3. Step 3: Cross multiply
    3,054.66x = 4,214.77 × 2,299.24
  4. Step 4: Simplify right side
    3,054.66x = 9,690,767.77
  5. Step 5: Solve for x
    x = 9,690,767.77/3,054.66
  6. Step 6: Final answer
    x = 3,172.45

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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.