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Finding the Fourth Proportional to 3,011.19, 4,516.83 and 931.17

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Solution

The fourth proportional to 3,011.19, 4,516.83 and 931.17 is: 1,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.19 : 4,516.83 = 931.17 : x
  2. Step 2: Convert to fraction form
    3,011.19/4,516.83 = 931.17/x
  3. Step 3: Cross multiply
    3,011.19x = 4,516.83 × 931.17
  4. Step 4: Simplify right side
    3,011.19x = 4,205,936.59
  5. Step 5: Solve for x
    x = 4,205,936.59/3,011.19
  6. Step 6: Final answer
    x = 1,396.77

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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.