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Finding the Fourth Proportional to 3,039.11, 4,558.66 and 730.61

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Solution

The fourth proportional to 3,039.11, 4,558.66 and 730.61 is: 1,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.11 : 4,558.66 = 730.61 : x
  2. Step 2: Convert to fraction form
    3,039.11/4,558.66 = 730.61/x
  3. Step 3: Cross multiply
    3,039.11x = 4,558.66 × 730.61
  4. Step 4: Simplify right side
    3,039.11x = 3,330,579.79
  5. Step 5: Solve for x
    x = 3,330,579.79/3,039.11
  6. Step 6: Final answer
    x = 1,095.91

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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.