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Finding the Fourth Proportional to 3,265.40, 4,898.91 and 1,074.15

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Solution

The fourth proportional to 3,265.40, 4,898.91 and 1,074.15 is: 1,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.40 : 4,898.91 = 1,074.15 : x
  2. Step 2: Convert to fraction form
    3,265.40/4,898.91 = 1,074.15/x
  3. Step 3: Cross multiply
    3,265.40x = 4,898.91 × 1,074.15
  4. Step 4: Simplify right side
    3,265.40x = 5,262,164.18
  5. Step 5: Solve for x
    x = 5,262,164.18/3,265.40
  6. Step 6: Final answer
    x = 1,611.49

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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.