Home / 1,764.46-2,646.46-466.03

Finding the Fourth Proportional to 1,764.46, 2,646.46 and 466.03

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Solution

The fourth proportional to 1,764.46, 2,646.46 and 466.03 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.46 : 2,646.46 = 466.03 : x
  2. Step 2: Convert to fraction form
    1,764.46/2,646.46 = 466.03/x
  3. Step 3: Cross multiply
    1,764.46x = 2,646.46 × 466.03
  4. Step 4: Simplify right side
    1,764.46x = 1,233,329.75
  5. Step 5: Solve for x
    x = 1,233,329.75/1,764.46
  6. Step 6: Final answer
    x = 698.98

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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.