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Finding the Fourth Proportional to 3,265.46, 4,898.78 and 1,074.80

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Solution

The fourth proportional to 3,265.46, 4,898.78 and 1,074.80 is: 1,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.46 : 4,898.78 = 1,074.80 : x
  2. Step 2: Convert to fraction form
    3,265.46/4,898.78 = 1,074.80/x
  3. Step 3: Cross multiply
    3,265.46x = 4,898.78 × 1,074.80
  4. Step 4: Simplify right side
    3,265.46x = 5,265,208.74
  5. Step 5: Solve for x
    x = 5,265,208.74/3,265.46
  6. Step 6: Final answer
    x = 1,612.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.