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Finding the Fourth Proportional to 2,494.70, 3,740.00 and 993.87

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Solution

The fourth proportional to 2,494.70, 3,740.00 and 993.87 is: 1,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.70 : 3,740.00 = 993.87 : x
  2. Step 2: Convert to fraction form
    2,494.70/3,740.00 = 993.87/x
  3. Step 3: Cross multiply
    2,494.70x = 3,740.00 × 993.87
  4. Step 4: Simplify right side
    2,494.70x = 3,717,068.83
  5. Step 5: Solve for x
    x = 3,717,068.83/2,494.70
  6. Step 6: Final answer
    x = 1,489.99

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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.