Home / 1,538.46-2,307.66-922.34

Finding the Fourth Proportional to 1,538.46, 2,307.66 and 922.34

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Solution

The fourth proportional to 1,538.46, 2,307.66 and 922.34 is: 1,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.46 : 2,307.66 = 922.34 : x
  2. Step 2: Convert to fraction form
    1,538.46/2,307.66 = 922.34/x
  3. Step 3: Cross multiply
    1,538.46x = 2,307.66 × 922.34
  4. Step 4: Simplify right side
    1,538.46x = 2,128,435.59
  5. Step 5: Solve for x
    x = 2,128,435.59/1,538.46
  6. Step 6: Final answer
    x = 1,383.48

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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.