Home / 2,823.41-3,896.24-1,564.46

Finding the Fourth Proportional to 2,823.41, 3,896.24 and 1,564.46

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Solution

The fourth proportional to 2,823.41, 3,896.24 and 1,564.46 is: 2,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.41 : 3,896.24 = 1,564.46 : x
  2. Step 2: Convert to fraction form
    2,823.41/3,896.24 = 1,564.46/x
  3. Step 3: Cross multiply
    2,823.41x = 3,896.24 × 1,564.46
  4. Step 4: Simplify right side
    2,823.41x = 6,095,484.33
  5. Step 5: Solve for x
    x = 6,095,484.33/2,823.41
  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.