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Finding the Fourth Proportional to 3,266.33, 4,898.95 and 1,074.74

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Solution

The fourth proportional to 3,266.33, 4,898.95 and 1,074.74 is: 1,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.33 : 4,898.95 = 1,074.74 : x
  2. Step 2: Convert to fraction form
    3,266.33/4,898.95 = 1,074.74/x
  3. Step 3: Cross multiply
    3,266.33x = 4,898.95 × 1,074.74
  4. Step 4: Simplify right side
    3,266.33x = 5,265,070.34
  5. Step 5: Solve for x
    x = 5,265,070.34/3,266.33
  6. Step 6: Final answer
    x = 1,611.92

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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.