Home / 2,823.46-3,895.98-1,564.20

Finding the Fourth Proportional to 2,823.46, 3,895.98 and 1,564.20

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Solution

The fourth proportional to 2,823.46, 3,895.98 and 1,564.20 is: 2,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.46 : 3,895.98 = 1,564.20 : x
  2. Step 2: Convert to fraction form
    2,823.46/3,895.98 = 1,564.20/x
  3. Step 3: Cross multiply
    2,823.46x = 3,895.98 × 1,564.20
  4. Step 4: Simplify right side
    2,823.46x = 6,094,084.10
  5. Step 5: Solve for x
    x = 6,094,084.10/2,823.46
  6. Step 6: Final answer
    x = 2,158.38

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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.