Home / 2,285.10-3,425.59-823.23

Finding the Fourth Proportional to 2,285.10, 3,425.59 and 823.23

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Solution

The fourth proportional to 2,285.10, 3,425.59 and 823.23 is: 1,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.10 : 3,425.59 = 823.23 : x
  2. Step 2: Convert to fraction form
    2,285.10/3,425.59 = 823.23/x
  3. Step 3: Cross multiply
    2,285.10x = 3,425.59 × 823.23
  4. Step 4: Simplify right side
    2,285.10x = 2,820,048.46
  5. Step 5: Solve for x
    x = 2,820,048.46/2,285.10
  6. Step 6: Final answer
    x = 1,234.10

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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.