Home / 2,823.01-3,895.69-1,564.02

Finding the Fourth Proportional to 2,823.01, 3,895.69 and 1,564.02

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Solution

The fourth proportional to 2,823.01, 3,895.69 and 1,564.02 is: 2,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.01 : 3,895.69 = 1,564.02 : x
  2. Step 2: Convert to fraction form
    2,823.01/3,895.69 = 1,564.02/x
  3. Step 3: Cross multiply
    2,823.01x = 3,895.69 × 1,564.02
  4. Step 4: Simplify right side
    2,823.01x = 6,092,937.07
  5. Step 5: Solve for x
    x = 6,092,937.07/2,823.01
  6. Step 6: Final answer
    x = 2,158.31

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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.