Home / 1,524.90-2,285.73-1,005.42

Finding the Fourth Proportional to 1,524.90, 2,285.73 and 1,005.42

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Solution

The fourth proportional to 1,524.90, 2,285.73 and 1,005.42 is: 1,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.90 : 2,285.73 = 1,005.42 : x
  2. Step 2: Convert to fraction form
    1,524.90/2,285.73 = 1,005.42/x
  3. Step 3: Cross multiply
    1,524.90x = 2,285.73 × 1,005.42
  4. Step 4: Simplify right side
    1,524.90x = 2,298,118.66
  5. Step 5: Solve for x
    x = 2,298,118.66/1,524.90
  6. Step 6: Final answer
    x = 1,507.06

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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.