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Finding the Fourth Proportional to 2,874.86, 4,312.20 and 794.99

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Solution

The fourth proportional to 2,874.86, 4,312.20 and 794.99 is: 1,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.86 : 4,312.20 = 794.99 : x
  2. Step 2: Convert to fraction form
    2,874.86/4,312.20 = 794.99/x
  3. Step 3: Cross multiply
    2,874.86x = 4,312.20 × 794.99
  4. Step 4: Simplify right side
    2,874.86x = 3,428,155.88
  5. Step 5: Solve for x
    x = 3,428,155.88/2,874.86
  6. Step 6: Final answer
    x = 1,192.46

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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.