Home / 2,038.16-3,056.47-867.43

Finding the Fourth Proportional to 2,038.16, 3,056.47 and 867.43

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Solution

The fourth proportional to 2,038.16, 3,056.47 and 867.43 is: 1,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.16 : 3,056.47 = 867.43 : x
  2. Step 2: Convert to fraction form
    2,038.16/3,056.47 = 867.43/x
  3. Step 3: Cross multiply
    2,038.16x = 3,056.47 × 867.43
  4. Step 4: Simplify right side
    2,038.16x = 2,651,258.23
  5. Step 5: Solve for x
    x = 2,651,258.23/2,038.16
  6. Step 6: Final answer
    x = 1,300.81

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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.