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Finding the Fourth Proportional to 2,593.99, 3,579.78 and 1,415.13

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Solution

The fourth proportional to 2,593.99, 3,579.78 and 1,415.13 is: 1,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.99 : 3,579.78 = 1,415.13 : x
  2. Step 2: Convert to fraction form
    2,593.99/3,579.78 = 1,415.13/x
  3. Step 3: Cross multiply
    2,593.99x = 3,579.78 × 1,415.13
  4. Step 4: Simplify right side
    2,593.99x = 5,065,854.07
  5. Step 5: Solve for x
    x = 5,065,854.07/2,593.99
  6. Step 6: Final answer
    x = 1,952.92

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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.