Home / 2,094.78-3,142.23-1,054.22

Finding the Fourth Proportional to 2,094.78, 3,142.23 and 1,054.22

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Solution

The fourth proportional to 2,094.78, 3,142.23 and 1,054.22 is: 1,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.78 : 3,142.23 = 1,054.22 : x
  2. Step 2: Convert to fraction form
    2,094.78/3,142.23 = 1,054.22/x
  3. Step 3: Cross multiply
    2,094.78x = 3,142.23 × 1,054.22
  4. Step 4: Simplify right side
    2,094.78x = 3,312,582.05
  5. Step 5: Solve for x
    x = 3,312,582.05/2,094.78
  6. Step 6: Final answer
    x = 1,581.35

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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.