Home / 1,601.04-2,401.58-505.50

Finding the Fourth Proportional to 1,601.04, 2,401.58 and 505.50

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Solution

The fourth proportional to 1,601.04, 2,401.58 and 505.50 is: 758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.04 : 2,401.58 = 505.50 : x
  2. Step 2: Convert to fraction form
    1,601.04/2,401.58 = 505.50/x
  3. Step 3: Cross multiply
    1,601.04x = 2,401.58 × 505.50
  4. Step 4: Simplify right side
    1,601.04x = 1,213,998.69
  5. Step 5: Solve for x
    x = 1,213,998.69/1,601.04
  6. Step 6: Final answer
    x = 758.26

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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.