Home / 1,763.26-2,643.32-942.12

Finding the Fourth Proportional to 1,763.26, 2,643.32 and 942.12

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Solution

The fourth proportional to 1,763.26, 2,643.32 and 942.12 is: 1,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.26 : 2,643.32 = 942.12 : x
  2. Step 2: Convert to fraction form
    1,763.26/2,643.32 = 942.12/x
  3. Step 3: Cross multiply
    1,763.26x = 2,643.32 × 942.12
  4. Step 4: Simplify right side
    1,763.26x = 2,490,324.64
  5. Step 5: Solve for x
    x = 2,490,324.64/1,763.26
  6. Step 6: Final answer
    x = 1,412.34

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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.