Home / 2,823.40-3,896.52-1,564.57

Finding the Fourth Proportional to 2,823.40, 3,896.52 and 1,564.57

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Solution

The fourth proportional to 2,823.40, 3,896.52 and 1,564.57 is: 2,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.40 : 3,896.52 = 1,564.57 : x
  2. Step 2: Convert to fraction form
    2,823.40/3,896.52 = 1,564.57/x
  3. Step 3: Cross multiply
    2,823.40x = 3,896.52 × 1,564.57
  4. Step 4: Simplify right side
    2,823.40x = 6,096,377.30
  5. Step 5: Solve for x
    x = 6,096,377.30/2,823.40
  6. Step 6: Final answer
    x = 2,159.23

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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.