Home / 1,982.64-2,967.60-1,438.56

Finding the Fourth Proportional to 1,982.64, 2,967.60 and 1,438.56

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Solution

The fourth proportional to 1,982.64, 2,967.60 and 1,438.56 is: 2,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.64 : 2,967.60 = 1,438.56 : x
  2. Step 2: Convert to fraction form
    1,982.64/2,967.60 = 1,438.56/x
  3. Step 3: Cross multiply
    1,982.64x = 2,967.60 × 1,438.56
  4. Step 4: Simplify right side
    1,982.64x = 4,269,070.66
  5. Step 5: Solve for x
    x = 4,269,070.66/1,982.64
  6. Step 6: Final answer
    x = 2,153.23

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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.