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Finding the Fourth Proportional to 3,293.70, 4,941.48 and 1,347.30

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Solution

The fourth proportional to 3,293.70, 4,941.48 and 1,347.30 is: 2,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.70 : 4,941.48 = 1,347.30 : x
  2. Step 2: Convert to fraction form
    3,293.70/4,941.48 = 1,347.30/x
  3. Step 3: Cross multiply
    3,293.70x = 4,941.48 × 1,347.30
  4. Step 4: Simplify right side
    3,293.70x = 6,657,656.00
  5. Step 5: Solve for x
    x = 6,657,656.00/3,293.70
  6. Step 6: Final answer
    x = 2,021.33

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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.