Home / 1,970.22-2,954.42-1,148.74

Finding the Fourth Proportional to 1,970.22, 2,954.42 and 1,148.74

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Solution

The fourth proportional to 1,970.22, 2,954.42 and 1,148.74 is: 1,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.22 : 2,954.42 = 1,148.74 : x
  2. Step 2: Convert to fraction form
    1,970.22/2,954.42 = 1,148.74/x
  3. Step 3: Cross multiply
    1,970.22x = 2,954.42 × 1,148.74
  4. Step 4: Simplify right side
    1,970.22x = 3,393,860.43
  5. Step 5: Solve for x
    x = 3,393,860.43/1,970.22
  6. Step 6: Final answer
    x = 1,722.58

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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.