Home / 1,981.34-2,734.36-1,097.24

Finding the Fourth Proportional to 1,981.34, 2,734.36 and 1,097.24

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Solution

The fourth proportional to 1,981.34, 2,734.36 and 1,097.24 is: 1,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.34 : 2,734.36 = 1,097.24 : x
  2. Step 2: Convert to fraction form
    1,981.34/2,734.36 = 1,097.24/x
  3. Step 3: Cross multiply
    1,981.34x = 2,734.36 × 1,097.24
  4. Step 4: Simplify right side
    1,981.34x = 3,000,249.17
  5. Step 5: Solve for x
    x = 3,000,249.17/1,981.34
  6. Step 6: Final answer
    x = 1,514.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.