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Finding the Fourth Proportional to 1,834.05, 2,530.93 and 994.71

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Solution

The fourth proportional to 1,834.05, 2,530.93 and 994.71 is: 1,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.05 : 2,530.93 = 994.71 : x
  2. Step 2: Convert to fraction form
    1,834.05/2,530.93 = 994.71/x
  3. Step 3: Cross multiply
    1,834.05x = 2,530.93 × 994.71
  4. Step 4: Simplify right side
    1,834.05x = 2,517,541.38
  5. Step 5: Solve for x
    x = 2,517,541.38/1,834.05
  6. Step 6: Final answer
    x = 1,372.67

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Why These Related Problems?

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