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Finding the Fourth Proportional to 2,261.35, 3,392.70 and 1,166.50

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Solution

The fourth proportional to 2,261.35, 3,392.70 and 1,166.50 is: 1,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.35 : 3,392.70 = 1,166.50 : x
  2. Step 2: Convert to fraction form
    2,261.35/3,392.70 = 1,166.50/x
  3. Step 3: Cross multiply
    2,261.35x = 3,392.70 × 1,166.50
  4. Step 4: Simplify right side
    2,261.35x = 3,957,584.55
  5. Step 5: Solve for x
    x = 3,957,584.55/2,261.35
  6. Step 6: Final answer
    x = 1,750.10

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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.