Home / 1,981.16-2,734.15-1,097.04

Finding the Fourth Proportional to 1,981.16, 2,734.15 and 1,097.04

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Solution

The fourth proportional to 1,981.16, 2,734.15 and 1,097.04 is: 1,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.16 : 2,734.15 = 1,097.04 : x
  2. Step 2: Convert to fraction form
    1,981.16/2,734.15 = 1,097.04/x
  3. Step 3: Cross multiply
    1,981.16x = 2,734.15 × 1,097.04
  4. Step 4: Simplify right side
    1,981.16x = 2,999,481.49
  5. Step 5: Solve for x
    x = 2,999,481.49/1,981.16
  6. Step 6: Final answer
    x = 1,514.00

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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.