Home / 1,629.60-2,444.14-459.69

Finding the Fourth Proportional to 1,629.60, 2,444.14 and 459.69

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Solution

The fourth proportional to 1,629.60, 2,444.14 and 459.69 is: 689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.60 : 2,444.14 = 459.69 : x
  2. Step 2: Convert to fraction form
    1,629.60/2,444.14 = 459.69/x
  3. Step 3: Cross multiply
    1,629.60x = 2,444.14 × 459.69
  4. Step 4: Simplify right side
    1,629.60x = 1,123,546.72
  5. Step 5: Solve for x
    x = 1,123,546.72/1,629.60
  6. Step 6: Final answer
    x = 689.46

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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.