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Finding the Fourth Proportional to 2,578.31, 3,558.99 and 1,530.38

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Solution

The fourth proportional to 2,578.31, 3,558.99 and 1,530.38 is: 2,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.31 : 3,558.99 = 1,530.38 : x
  2. Step 2: Convert to fraction form
    2,578.31/3,558.99 = 1,530.38/x
  3. Step 3: Cross multiply
    2,578.31x = 3,558.99 × 1,530.38
  4. Step 4: Simplify right side
    2,578.31x = 5,446,595.06
  5. Step 5: Solve for x
    x = 5,446,595.06/2,578.31
  6. Step 6: Final answer
    x = 2,112.47

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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.