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Finding the Fourth Proportional to 2,835.96, 4,254.72 and 2,019.44

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Solution

The fourth proportional to 2,835.96, 4,254.72 and 2,019.44 is: 3,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.96 : 4,254.72 = 2,019.44 : x
  2. Step 2: Convert to fraction form
    2,835.96/4,254.72 = 2,019.44/x
  3. Step 3: Cross multiply
    2,835.96x = 4,254.72 × 2,019.44
  4. Step 4: Simplify right side
    2,835.96x = 8,592,130.48
  5. Step 5: Solve for x
    x = 8,592,130.48/2,835.96
  6. Step 6: Final answer
    x = 3,029.71

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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.