Home / 2,328.25-3,213-1,280.35

Finding the Fourth Proportional to 2,328.25, 3,213 and 1,280.35

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Solution

The fourth proportional to 2,328.25, 3,213 and 1,280.35 is: 1,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.25 : 3,213 = 1,280.35 : x
  2. Step 2: Convert to fraction form
    2,328.25/3,213 = 1,280.35/x
  3. Step 3: Cross multiply
    2,328.25x = 3,213 × 1,280.35
  4. Step 4: Simplify right side
    2,328.25x = 4,113,764.55
  5. Step 5: Solve for x
    x = 4,113,764.55/2,328.25
  6. Step 6: Final answer
    x = 1,766.89

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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.