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Finding the Fourth Proportional to 3,303.11, 4,954.64 and 994.61

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Solution

The fourth proportional to 3,303.11, 4,954.64 and 994.61 is: 1,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.11 : 4,954.64 = 994.61 : x
  2. Step 2: Convert to fraction form
    3,303.11/4,954.64 = 994.61/x
  3. Step 3: Cross multiply
    3,303.11x = 4,954.64 × 994.61
  4. Step 4: Simplify right side
    3,303.11x = 4,927,904.74
  5. Step 5: Solve for x
    x = 4,927,904.74/3,303.11
  6. Step 6: Final answer
    x = 1,491.90

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Why These Related Problems?

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