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Finding the Fourth Proportional to 3,291.22, 4,941.69 and 1,347.22

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Solution

The fourth proportional to 3,291.22, 4,941.69 and 1,347.22 is: 2,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.22 : 4,941.69 = 1,347.22 : x
  2. Step 2: Convert to fraction form
    3,291.22/4,941.69 = 1,347.22/x
  3. Step 3: Cross multiply
    3,291.22x = 4,941.69 × 1,347.22
  4. Step 4: Simplify right side
    3,291.22x = 6,657,543.60
  5. Step 5: Solve for x
    x = 6,657,543.60/3,291.22
  6. Step 6: Final answer
    x = 2,022.82

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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.