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Finding the Fourth Proportional to 2,645.91, 3,969.99 and 1,413

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Solution

The fourth proportional to 2,645.91, 3,969.99 and 1,413 is: 2,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.91 : 3,969.99 = 1,413 : x
  2. Step 2: Convert to fraction form
    2,645.91/3,969.99 = 1,413/x
  3. Step 3: Cross multiply
    2,645.91x = 3,969.99 × 1,413
  4. Step 4: Simplify right side
    2,645.91x = 5,609,595.87
  5. Step 5: Solve for x
    x = 5,609,595.87/2,645.91
  6. Step 6: Final answer
    x = 2,120.10

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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.