Home / 1,636.07-2,453.70-465.80

Finding the Fourth Proportional to 1,636.07, 2,453.70 and 465.80

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Solution

The fourth proportional to 1,636.07, 2,453.70 and 465.80 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.07 : 2,453.70 = 465.80 : x
  2. Step 2: Convert to fraction form
    1,636.07/2,453.70 = 465.80/x
  3. Step 3: Cross multiply
    1,636.07x = 2,453.70 × 465.80
  4. Step 4: Simplify right side
    1,636.07x = 1,142,933.46
  5. Step 5: Solve for x
    x = 1,142,933.46/1,636.07
  6. Step 6: Final answer
    x = 698.58

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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.