Home / 2,094.02-3,137.54-922.28

Finding the Fourth Proportional to 2,094.02, 3,137.54 and 922.28

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Solution

The fourth proportional to 2,094.02, 3,137.54 and 922.28 is: 1,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.02 : 3,137.54 = 922.28 : x
  2. Step 2: Convert to fraction form
    2,094.02/3,137.54 = 922.28/x
  3. Step 3: Cross multiply
    2,094.02x = 3,137.54 × 922.28
  4. Step 4: Simplify right side
    2,094.02x = 2,893,690.39
  5. Step 5: Solve for x
    x = 2,893,690.39/2,094.02
  6. Step 6: Final answer
    x = 1,381.88

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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.