Home / 1,763.58-2,646.57-942.44

Finding the Fourth Proportional to 1,763.58, 2,646.57 and 942.44

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Solution

The fourth proportional to 1,763.58, 2,646.57 and 942.44 is: 1,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.58 : 2,646.57 = 942.44 : x
  2. Step 2: Convert to fraction form
    1,763.58/2,646.57 = 942.44/x
  3. Step 3: Cross multiply
    1,763.58x = 2,646.57 × 942.44
  4. Step 4: Simplify right side
    1,763.58x = 2,494,220.20
  5. Step 5: Solve for x
    x = 2,494,220.20/1,763.58
  6. Step 6: Final answer
    x = 1,414.29

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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.