Home / 2,288.02-3,432.96-827.32

Finding the Fourth Proportional to 2,288.02, 3,432.96 and 827.32

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Solution

The fourth proportional to 2,288.02, 3,432.96 and 827.32 is: 1,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.02 : 3,432.96 = 827.32 : x
  2. Step 2: Convert to fraction form
    2,288.02/3,432.96 = 827.32/x
  3. Step 3: Cross multiply
    2,288.02x = 3,432.96 × 827.32
  4. Step 4: Simplify right side
    2,288.02x = 2,840,156.47
  5. Step 5: Solve for x
    x = 2,840,156.47/2,288.02
  6. Step 6: Final answer
    x = 1,241.32

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1.5x scale

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.