Home / 2,565.78-3,542.07-1,682.94

Finding the Fourth Proportional to 2,565.78, 3,542.07 and 1,682.94

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Solution

The fourth proportional to 2,565.78, 3,542.07 and 1,682.94 is: 2,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.78 : 3,542.07 = 1,682.94 : x
  2. Step 2: Convert to fraction form
    2,565.78/3,542.07 = 1,682.94/x
  3. Step 3: Cross multiply
    2,565.78x = 3,542.07 × 1,682.94
  4. Step 4: Simplify right side
    2,565.78x = 5,961,091.29
  5. Step 5: Solve for x
    x = 5,961,091.29/2,565.78
  6. Step 6: Final answer
    x = 2,323.31

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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.