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Finding the Fourth Proportional to 2,596, 3,894.00 and 2,337.09

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Solution

The fourth proportional to 2,596, 3,894.00 and 2,337.09 is: 3,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 3,894.00 = 2,337.09 : x
  2. Step 2: Convert to fraction form
    2,596/3,894.00 = 2,337.09/x
  3. Step 3: Cross multiply
    2,596x = 3,894.00 × 2,337.09
  4. Step 4: Simplify right side
    2,596x = 9,100,603.15
  5. Step 5: Solve for x
    x = 9,100,603.15/2,596
  6. Step 6: Final answer
    x = 3,505.63

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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.