Home / 1,629.54-2,444.47-459.54

Finding the Fourth Proportional to 1,629.54, 2,444.47 and 459.54

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Solution

The fourth proportional to 1,629.54, 2,444.47 and 459.54 is: 689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.54 : 2,444.47 = 459.54 : x
  2. Step 2: Convert to fraction form
    1,629.54/2,444.47 = 459.54/x
  3. Step 3: Cross multiply
    1,629.54x = 2,444.47 × 459.54
  4. Step 4: Simplify right side
    1,629.54x = 1,123,331.74
  5. Step 5: Solve for x
    x = 1,123,331.74/1,629.54
  6. Step 6: Final answer
    x = 689.36

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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.