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Finding the Fourth Proportional to 1,924.53, 2,885.37 and 674.79

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Solution

The fourth proportional to 1,924.53, 2,885.37 and 674.79 is: 1,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.53 : 2,885.37 = 674.79 : x
  2. Step 2: Convert to fraction form
    1,924.53/2,885.37 = 674.79/x
  3. Step 3: Cross multiply
    1,924.53x = 2,885.37 × 674.79
  4. Step 4: Simplify right side
    1,924.53x = 1,947,018.82
  5. Step 5: Solve for x
    x = 1,947,018.82/1,924.53
  6. Step 6: Final answer
    x = 1,011.69

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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.