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Finding the Fourth Proportional to 2,641.34, 3,962.37 and 909.50

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Solution

The fourth proportional to 2,641.34, 3,962.37 and 909.50 is: 1,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.34 : 3,962.37 = 909.50 : x
  2. Step 2: Convert to fraction form
    2,641.34/3,962.37 = 909.50/x
  3. Step 3: Cross multiply
    2,641.34x = 3,962.37 × 909.50
  4. Step 4: Simplify right side
    2,641.34x = 3,603,775.52
  5. Step 5: Solve for x
    x = 3,603,775.52/2,641.34
  6. Step 6: Final answer
    x = 1,364.37

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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.