Home / 1,631.23-2,447.14-535.90

Finding the Fourth Proportional to 1,631.23, 2,447.14 and 535.90

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Solution

The fourth proportional to 1,631.23, 2,447.14 and 535.90 is: 803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.23 : 2,447.14 = 535.90 : x
  2. Step 2: Convert to fraction form
    1,631.23/2,447.14 = 535.90/x
  3. Step 3: Cross multiply
    1,631.23x = 2,447.14 × 535.90
  4. Step 4: Simplify right side
    1,631.23x = 1,311,422.33
  5. Step 5: Solve for x
    x = 1,311,422.33/1,631.23
  6. Step 6: Final answer
    x = 803.95

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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.