Home / 2,378.09-3,280.19-1,433.24

Finding the Fourth Proportional to 2,378.09, 3,280.19 and 1,433.24

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Solution

The fourth proportional to 2,378.09, 3,280.19 and 1,433.24 is: 1,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.09 : 3,280.19 = 1,433.24 : x
  2. Step 2: Convert to fraction form
    2,378.09/3,280.19 = 1,433.24/x
  3. Step 3: Cross multiply
    2,378.09x = 3,280.19 × 1,433.24
  4. Step 4: Simplify right side
    2,378.09x = 4,701,283.11
  5. Step 5: Solve for x
    x = 4,701,283.11/2,378.09
  6. Step 6: Final answer
    x = 1,976.92

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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.