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Finding the Fourth Proportional to 3,265.78, 4,899.01 and 1,074.68

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Solution

The fourth proportional to 3,265.78, 4,899.01 and 1,074.68 is: 1,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.78 : 4,899.01 = 1,074.68 : x
  2. Step 2: Convert to fraction form
    3,265.78/4,899.01 = 1,074.68/x
  3. Step 3: Cross multiply
    3,265.78x = 4,899.01 × 1,074.68
  4. Step 4: Simplify right side
    3,265.78x = 5,264,868.07
  5. Step 5: Solve for x
    x = 5,264,868.07/3,265.78
  6. Step 6: Final answer
    x = 1,612.13

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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.