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Finding the Fourth Proportional to 2,518.40, 3,770.50 and 1,900.14

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Solution

The fourth proportional to 2,518.40, 3,770.50 and 1,900.14 is: 2,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.40 : 3,770.50 = 1,900.14 : x
  2. Step 2: Convert to fraction form
    2,518.40/3,770.50 = 1,900.14/x
  3. Step 3: Cross multiply
    2,518.40x = 3,770.50 × 1,900.14
  4. Step 4: Simplify right side
    2,518.40x = 7,164,477.87
  5. Step 5: Solve for x
    x = 7,164,477.87/2,518.40
  6. Step 6: Final answer
    x = 2,844.85

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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.