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Finding the Fourth Proportional to 2,784.05, 3,842.03 and 1,900.13

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Solution

The fourth proportional to 2,784.05, 3,842.03 and 1,900.13 is: 2,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.05 : 3,842.03 = 1,900.13 : x
  2. Step 2: Convert to fraction form
    2,784.05/3,842.03 = 1,900.13/x
  3. Step 3: Cross multiply
    2,784.05x = 3,842.03 × 1,900.13
  4. Step 4: Simplify right side
    2,784.05x = 7,300,374.42
  5. Step 5: Solve for x
    x = 7,300,374.42/2,784.05
  6. Step 6: Final answer
    x = 2,622.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.