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Finding the Fourth Proportional to 2,290, 3,435.28 and 828.94

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Solution

The fourth proportional to 2,290, 3,435.28 and 828.94 is: 1,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290 : 3,435.28 = 828.94 : x
  2. Step 2: Convert to fraction form
    2,290/3,435.28 = 828.94/x
  3. Step 3: Cross multiply
    2,290x = 3,435.28 × 828.94
  4. Step 4: Simplify right side
    2,290x = 2,847,641.00
  5. Step 5: Solve for x
    x = 2,847,641.00/2,290
  6. Step 6: Final answer
    x = 1,243.51

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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.