Home / 1,348.14-2,022.24-617.96

Finding the Fourth Proportional to 1,348.14, 2,022.24 and 617.96

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Solution

The fourth proportional to 1,348.14, 2,022.24 and 617.96 is: 926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.14 : 2,022.24 = 617.96 : x
  2. Step 2: Convert to fraction form
    1,348.14/2,022.24 = 617.96/x
  3. Step 3: Cross multiply
    1,348.14x = 2,022.24 × 617.96
  4. Step 4: Simplify right side
    1,348.14x = 1,249,663.43
  5. Step 5: Solve for x
    x = 1,249,663.43/1,348.14
  6. Step 6: Final answer
    x = 926.95

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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.