Home / 2,823.75-3,896.77-1,564.81

Finding the Fourth Proportional to 2,823.75, 3,896.77 and 1,564.81

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Solution

The fourth proportional to 2,823.75, 3,896.77 and 1,564.81 is: 2,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.75 : 3,896.77 = 1,564.81 : x
  2. Step 2: Convert to fraction form
    2,823.75/3,896.77 = 1,564.81/x
  3. Step 3: Cross multiply
    2,823.75x = 3,896.77 × 1,564.81
  4. Step 4: Simplify right side
    2,823.75x = 6,097,691.01
  5. Step 5: Solve for x
    x = 6,097,691.01/2,823.75
  6. Step 6: Final answer
    x = 2,159.43

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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.