Home / 1,521.74-2,282.99-828.22

Finding the Fourth Proportional to 1,521.74, 2,282.99 and 828.22

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Solution

The fourth proportional to 1,521.74, 2,282.99 and 828.22 is: 1,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.74 : 2,282.99 = 828.22 : x
  2. Step 2: Convert to fraction form
    1,521.74/2,282.99 = 828.22/x
  3. Step 3: Cross multiply
    1,521.74x = 2,282.99 × 828.22
  4. Step 4: Simplify right side
    1,521.74x = 1,890,817.98
  5. Step 5: Solve for x
    x = 1,890,817.98/1,521.74
  6. Step 6: Final answer
    x = 1,242.54

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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.