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Finding the Fourth Proportional to 3,267.90, 4,894.65 and 1,971.90

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Solution

The fourth proportional to 3,267.90, 4,894.65 and 1,971.90 is: 2,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.90 : 4,894.65 = 1,971.90 : x
  2. Step 2: Convert to fraction form
    3,267.90/4,894.65 = 1,971.90/x
  3. Step 3: Cross multiply
    3,267.90x = 4,894.65 × 1,971.90
  4. Step 4: Simplify right side
    3,267.90x = 9,651,760.34
  5. Step 5: Solve for x
    x = 9,651,760.34/3,267.90
  6. Step 6: Final answer
    x = 2,953.51

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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.