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Finding the Fourth Proportional to 2,493.90, 3,740.83 and 1,384.00

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Solution

The fourth proportional to 2,493.90, 3,740.83 and 1,384.00 is: 2,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.90 : 3,740.83 = 1,384.00 : x
  2. Step 2: Convert to fraction form
    2,493.90/3,740.83 = 1,384.00/x
  3. Step 3: Cross multiply
    2,493.90x = 3,740.83 × 1,384.00
  4. Step 4: Simplify right side
    2,493.90x = 5,177,295.91
  5. Step 5: Solve for x
    x = 5,177,295.91/2,493.90
  6. Step 6: Final answer
    x = 2,075.98

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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.