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Finding the Fourth Proportional to 1,833.82, 2,530.60 and 994.51

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Solution

The fourth proportional to 1,833.82, 2,530.60 and 994.51 is: 1,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.82 : 2,530.60 = 994.51 : x
  2. Step 2: Convert to fraction form
    1,833.82/2,530.60 = 994.51/x
  3. Step 3: Cross multiply
    1,833.82x = 2,530.60 × 994.51
  4. Step 4: Simplify right side
    1,833.82x = 2,516,701.92
  5. Step 5: Solve for x
    x = 2,516,701.92/1,833.82
  6. Step 6: Final answer
    x = 1,372.38

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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.