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Finding the Fourth Proportional to 1,648.55, 2,473.89 and 608.56

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Solution

The fourth proportional to 1,648.55, 2,473.89 and 608.56 is: 913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.55 : 2,473.89 = 608.56 : x
  2. Step 2: Convert to fraction form
    1,648.55/2,473.89 = 608.56/x
  3. Step 3: Cross multiply
    1,648.55x = 2,473.89 × 608.56
  4. Step 4: Simplify right side
    1,648.55x = 1,505,519.37
  5. Step 5: Solve for x
    x = 1,505,519.37/1,648.55
  6. Step 6: Final answer
    x = 913.24

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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.