Home / 1,619.46-2,234.52-1,029.78

Finding the Fourth Proportional to 1,619.46, 2,234.52 and 1,029.78

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Solution

The fourth proportional to 1,619.46, 2,234.52 and 1,029.78 is: 1,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.46 : 2,234.52 = 1,029.78 : x
  2. Step 2: Convert to fraction form
    1,619.46/2,234.52 = 1,029.78/x
  3. Step 3: Cross multiply
    1,619.46x = 2,234.52 × 1,029.78
  4. Step 4: Simplify right side
    1,619.46x = 2,301,064.01
  5. Step 5: Solve for x
    x = 2,301,064.01/1,619.46
  6. Step 6: Final answer
    x = 1,420.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.