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Finding the Fourth Proportional to 1,900.20, 2,835.86 and 1,850.98

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Solution

The fourth proportional to 1,900.20, 2,835.86 and 1,850.98 is: 2,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.20 : 2,835.86 = 1,850.98 : x
  2. Step 2: Convert to fraction form
    1,900.20/2,835.86 = 1,850.98/x
  3. Step 3: Cross multiply
    1,900.20x = 2,835.86 × 1,850.98
  4. Step 4: Simplify right side
    1,900.20x = 5,249,120.14
  5. Step 5: Solve for x
    x = 5,249,120.14/1,900.20
  6. Step 6: Final answer
    x = 2,762.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.