Home / 2,823.28-3,895.86-1,564.30

Finding the Fourth Proportional to 2,823.28, 3,895.86 and 1,564.30

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Solution

The fourth proportional to 2,823.28, 3,895.86 and 1,564.30 is: 2,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.28 : 3,895.86 = 1,564.30 : x
  2. Step 2: Convert to fraction form
    2,823.28/3,895.86 = 1,564.30/x
  3. Step 3: Cross multiply
    2,823.28x = 3,895.86 × 1,564.30
  4. Step 4: Simplify right side
    2,823.28x = 6,094,293.80
  5. Step 5: Solve for x
    x = 6,094,293.80/2,823.28
  6. Step 6: Final answer
    x = 2,158.59

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