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Finding the Fourth Proportional to 3,289.72, 4,934.52 and 1,341.46

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Solution

The fourth proportional to 3,289.72, 4,934.52 and 1,341.46 is: 2,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.72 : 4,934.52 = 1,341.46 : x
  2. Step 2: Convert to fraction form
    3,289.72/4,934.52 = 1,341.46/x
  3. Step 3: Cross multiply
    3,289.72x = 4,934.52 × 1,341.46
  4. Step 4: Simplify right side
    3,289.72x = 6,619,461.20
  5. Step 5: Solve for x
    x = 6,619,461.20/3,289.72
  6. Step 6: Final answer
    x = 2,012.17

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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.