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Finding the Fourth Proportional to 2,566.90, 3,850.34 and 619.10

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Solution

The fourth proportional to 2,566.90, 3,850.34 and 619.10 is: 928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.90 : 3,850.34 = 619.10 : x
  2. Step 2: Convert to fraction form
    2,566.90/3,850.34 = 619.10/x
  3. Step 3: Cross multiply
    2,566.90x = 3,850.34 × 619.10
  4. Step 4: Simplify right side
    2,566.90x = 2,383,745.49
  5. Step 5: Solve for x
    x = 2,383,745.49/2,566.90
  6. Step 6: Final answer
    x = 928.65

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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.