Home / 1,924.32-2,881.80-1,100.09

Finding the Fourth Proportional to 1,924.32, 2,881.80 and 1,100.09

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Solution

The fourth proportional to 1,924.32, 2,881.80 and 1,100.09 is: 1,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.32 : 2,881.80 = 1,100.09 : x
  2. Step 2: Convert to fraction form
    1,924.32/2,881.80 = 1,100.09/x
  3. Step 3: Cross multiply
    1,924.32x = 2,881.80 × 1,100.09
  4. Step 4: Simplify right side
    1,924.32x = 3,170,224.95
  5. Step 5: Solve for x
    x = 3,170,224.95/1,924.32
  6. Step 6: Final answer
    x = 1,647.45

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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.