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Finding the Fourth Proportional to 2,894.19, 3,992.13 and 1,899.54

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Solution

The fourth proportional to 2,894.19, 3,992.13 and 1,899.54 is: 2,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.19 : 3,992.13 = 1,899.54 : x
  2. Step 2: Convert to fraction form
    2,894.19/3,992.13 = 1,899.54/x
  3. Step 3: Cross multiply
    2,894.19x = 3,992.13 × 1,899.54
  4. Step 4: Simplify right side
    2,894.19x = 7,583,210.62
  5. Step 5: Solve for x
    x = 7,583,210.62/2,894.19
  6. Step 6: Final answer
    x = 2,620.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.