Home / 1,981.40-2,972.10-1,664.60

Finding the Fourth Proportional to 1,981.40, 2,972.10 and 1,664.60

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Solution

The fourth proportional to 1,981.40, 2,972.10 and 1,664.60 is: 2,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.40 : 2,972.10 = 1,664.60 : x
  2. Step 2: Convert to fraction form
    1,981.40/2,972.10 = 1,664.60/x
  3. Step 3: Cross multiply
    1,981.40x = 2,972.10 × 1,664.60
  4. Step 4: Simplify right side
    1,981.40x = 4,947,357.66
  5. Step 5: Solve for x
    x = 4,947,357.66/1,981.40
  6. Step 6: Final answer
    x = 2,496.90

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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.