Home / 1,434.58-2,150.78-1,023.64

Finding the Fourth Proportional to 1,434.58, 2,150.78 and 1,023.64

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Solution

The fourth proportional to 1,434.58, 2,150.78 and 1,023.64 is: 1,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.58 : 2,150.78 = 1,023.64 : x
  2. Step 2: Convert to fraction form
    1,434.58/2,150.78 = 1,023.64/x
  3. Step 3: Cross multiply
    1,434.58x = 2,150.78 × 1,023.64
  4. Step 4: Simplify right side
    1,434.58x = 2,201,624.44
  5. Step 5: Solve for x
    x = 2,201,624.44/1,434.58
  6. Step 6: Final answer
    x = 1,534.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.