Home / 2,823.97-3,896.88-1,564.90

Finding the Fourth Proportional to 2,823.97, 3,896.88 and 1,564.90

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Solution

The fourth proportional to 2,823.97, 3,896.88 and 1,564.90 is: 2,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.97 : 3,896.88 = 1,564.90 : x
  2. Step 2: Convert to fraction form
    2,823.97/3,896.88 = 1,564.90/x
  3. Step 3: Cross multiply
    2,823.97x = 3,896.88 × 1,564.90
  4. Step 4: Simplify right side
    2,823.97x = 6,098,227.51
  5. Step 5: Solve for x
    x = 6,098,227.51/2,823.97
  6. Step 6: Final answer
    x = 2,159.45

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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.