Home / 2,290.08-3,435.20-828.96

Finding the Fourth Proportional to 2,290.08, 3,435.20 and 828.96

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Solution

The fourth proportional to 2,290.08, 3,435.20 and 828.96 is: 1,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.08 : 3,435.20 = 828.96 : x
  2. Step 2: Convert to fraction form
    2,290.08/3,435.20 = 828.96/x
  3. Step 3: Cross multiply
    2,290.08x = 3,435.20 × 828.96
  4. Step 4: Simplify right side
    2,290.08x = 2,847,643.39
  5. Step 5: Solve for x
    x = 2,847,643.39/2,290.08
  6. Step 6: Final answer
    x = 1,243.47

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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.