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Finding the Fourth Proportional to 3,293.27, 4,941.86 and 1,214.74

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Solution

The fourth proportional to 3,293.27, 4,941.86 and 1,214.74 is: 1,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.27 : 4,941.86 = 1,214.74 : x
  2. Step 2: Convert to fraction form
    3,293.27/4,941.86 = 1,214.74/x
  3. Step 3: Cross multiply
    3,293.27x = 4,941.86 × 1,214.74
  4. Step 4: Simplify right side
    3,293.27x = 6,003,047.32
  5. Step 5: Solve for x
    x = 6,003,047.32/3,293.27
  6. Step 6: Final answer
    x = 1,822.82

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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.