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Finding the Fourth Proportional to 3,265.88, 4,894.06 and 1,511.42

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Solution

The fourth proportional to 3,265.88, 4,894.06 and 1,511.42 is: 2,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.88 : 4,894.06 = 1,511.42 : x
  2. Step 2: Convert to fraction form
    3,265.88/4,894.06 = 1,511.42/x
  3. Step 3: Cross multiply
    3,265.88x = 4,894.06 × 1,511.42
  4. Step 4: Simplify right side
    3,265.88x = 7,396,980.17
  5. Step 5: Solve for x
    x = 7,396,980.17/3,265.88
  6. Step 6: Final answer
    x = 2,264.93

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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.