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Finding the Fourth Proportional to 2,588, 3,882.01 and 1,764.23

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Solution

The fourth proportional to 2,588, 3,882.01 and 1,764.23 is: 2,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588 : 3,882.01 = 1,764.23 : x
  2. Step 2: Convert to fraction form
    2,588/3,882.01 = 1,764.23/x
  3. Step 3: Cross multiply
    2,588x = 3,882.01 × 1,764.23
  4. Step 4: Simplify right side
    2,588x = 6,848,758.50
  5. Step 5: Solve for x
    x = 6,848,758.50/2,588
  6. Step 6: Final answer
    x = 2,646.35

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Similar ratio
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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.