Home / 1,524.10-2,284.32-701.24

Finding the Fourth Proportional to 1,524.10, 2,284.32 and 701.24

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Solution

The fourth proportional to 1,524.10, 2,284.32 and 701.24 is: 1,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.10 : 2,284.32 = 701.24 : x
  2. Step 2: Convert to fraction form
    1,524.10/2,284.32 = 701.24/x
  3. Step 3: Cross multiply
    1,524.10x = 2,284.32 × 701.24
  4. Step 4: Simplify right side
    1,524.10x = 1,601,856.56
  5. Step 5: Solve for x
    x = 1,601,856.56/1,524.10
  6. Step 6: Final answer
    x = 1,051.02

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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.