Home / 2,823.38-3,896.25-1,564.43

Finding the Fourth Proportional to 2,823.38, 3,896.25 and 1,564.43

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Solution

The fourth proportional to 2,823.38, 3,896.25 and 1,564.43 is: 2,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.38 : 3,896.25 = 1,564.43 : x
  2. Step 2: Convert to fraction form
    2,823.38/3,896.25 = 1,564.43/x
  3. Step 3: Cross multiply
    2,823.38x = 3,896.25 × 1,564.43
  4. Step 4: Simplify right side
    2,823.38x = 6,095,420.13
  5. Step 5: Solve for x
    x = 6,095,420.13/2,823.38
  6. Step 6: Final answer
    x = 2,158.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.