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Finding the Fourth Proportional to 2,493.79, 3,738.39 and 933.00

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Solution

The fourth proportional to 2,493.79, 3,738.39 and 933.00 is: 1,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.79 : 3,738.39 = 933.00 : x
  2. Step 2: Convert to fraction form
    2,493.79/3,738.39 = 933.00/x
  3. Step 3: Cross multiply
    2,493.79x = 3,738.39 × 933.00
  4. Step 4: Simplify right side
    2,493.79x = 3,487,900.35
  5. Step 5: Solve for x
    x = 3,487,900.35/2,493.79
  6. Step 6: Final answer
    x = 1,398.64

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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.