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Finding the Fourth Proportional to 2,394.65, 3,593.00 and 1,299.80

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Solution

The fourth proportional to 2,394.65, 3,593.00 and 1,299.80 is: 1,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.65 : 3,593.00 = 1,299.80 : x
  2. Step 2: Convert to fraction form
    2,394.65/3,593.00 = 1,299.80/x
  3. Step 3: Cross multiply
    2,394.65x = 3,593.00 × 1,299.80
  4. Step 4: Simplify right side
    2,394.65x = 4,670,193.63
  5. Step 5: Solve for x
    x = 4,670,193.63/2,394.65
  6. Step 6: Final answer
    x = 1,950.26

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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.