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Finding the Fourth Proportional to 2,569.78, 3,855.30 and 926.44

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Solution

The fourth proportional to 2,569.78, 3,855.30 and 926.44 is: 1,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.78 : 3,855.30 = 926.44 : x
  2. Step 2: Convert to fraction form
    2,569.78/3,855.30 = 926.44/x
  3. Step 3: Cross multiply
    2,569.78x = 3,855.30 × 926.44
  4. Step 4: Simplify right side
    2,569.78x = 3,571,704.13
  5. Step 5: Solve for x
    x = 3,571,704.13/2,569.78
  6. Step 6: Final answer
    x = 1,389.89

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1.5x scale

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.