Home / 1,521.90-2,282.85-1,005.20

Finding the Fourth Proportional to 1,521.90, 2,282.85 and 1,005.20

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Solution

The fourth proportional to 1,521.90, 2,282.85 and 1,005.20 is: 1,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.90 : 2,282.85 = 1,005.20 : x
  2. Step 2: Convert to fraction form
    1,521.90/2,282.85 = 1,005.20/x
  3. Step 3: Cross multiply
    1,521.90x = 2,282.85 × 1,005.20
  4. Step 4: Simplify right side
    1,521.90x = 2,294,709.41
  5. Step 5: Solve for x
    x = 2,294,709.41/1,521.90
  6. Step 6: Final answer
    x = 1,507.79

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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.