Home / 2,827.77-3,902.31-1,569.02

Finding the Fourth Proportional to 2,827.77, 3,902.31 and 1,569.02

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Solution

The fourth proportional to 2,827.77, 3,902.31 and 1,569.02 is: 2,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.77 : 3,902.31 = 1,569.02 : x
  2. Step 2: Convert to fraction form
    2,827.77/3,902.31 = 1,569.02/x
  3. Step 3: Cross multiply
    2,827.77x = 3,902.31 × 1,569.02
  4. Step 4: Simplify right side
    2,827.77x = 6,122,786.85
  5. Step 5: Solve for x
    x = 6,122,786.85/2,827.77
  6. Step 6: Final answer
    x = 2,165.24

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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.