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Finding the Fourth Proportional to 1,900.42, 2,851.18 and 1,380.94

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Solution

The fourth proportional to 1,900.42, 2,851.18 and 1,380.94 is: 2,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.42 : 2,851.18 = 1,380.94 : x
  2. Step 2: Convert to fraction form
    1,900.42/2,851.18 = 1,380.94/x
  3. Step 3: Cross multiply
    1,900.42x = 2,851.18 × 1,380.94
  4. Step 4: Simplify right side
    1,900.42x = 3,937,308.51
  5. Step 5: Solve for x
    x = 3,937,308.51/1,900.42
  6. Step 6: Final answer
    x = 2,071.81

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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.