Home / 2,565-3,848.46-1,331.64

Finding the Fourth Proportional to 2,565, 3,848.46 and 1,331.64

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Solution

The fourth proportional to 2,565, 3,848.46 and 1,331.64 is: 1,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565 : 3,848.46 = 1,331.64 : x
  2. Step 2: Convert to fraction form
    2,565/3,848.46 = 1,331.64/x
  3. Step 3: Cross multiply
    2,565x = 3,848.46 × 1,331.64
  4. Step 4: Simplify right side
    2,565x = 5,124,763.27
  5. Step 5: Solve for x
    x = 5,124,763.27/2,565
  6. Step 6: Final answer
    x = 1,997.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.