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Finding the Fourth Proportional to 2,290, 3,434.84 and 1,194.98

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Solution

The fourth proportional to 2,290, 3,434.84 and 1,194.98 is: 1,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290 : 3,434.84 = 1,194.98 : x
  2. Step 2: Convert to fraction form
    2,290/3,434.84 = 1,194.98/x
  3. Step 3: Cross multiply
    2,290x = 3,434.84 × 1,194.98
  4. Step 4: Simplify right side
    2,290x = 4,104,565.10
  5. Step 5: Solve for x
    x = 4,104,565.10/2,290
  6. Step 6: Final answer
    x = 1,792.39

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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.