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Finding the Fourth Proportional to 1,629.74, 2,444.60 and 459.74

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Solution

The fourth proportional to 1,629.74, 2,444.60 and 459.74 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.74 : 2,444.60 = 459.74 : x
  2. Step 2: Convert to fraction form
    1,629.74/2,444.60 = 459.74/x
  3. Step 3: Cross multiply
    1,629.74x = 2,444.60 × 459.74
  4. Step 4: Simplify right side
    1,629.74x = 1,123,865.88
  5. Step 5: Solve for x
    x = 1,123,865.88/1,629.74
  6. Step 6: Final answer
    x = 689.60

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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.