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Finding the Fourth Proportional to 1,900.37, 2,836.79 and 1,642.02

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Solution

The fourth proportional to 1,900.37, 2,836.79 and 1,642.02 is: 2,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.37 : 2,836.79 = 1,642.02 : x
  2. Step 2: Convert to fraction form
    1,900.37/2,836.79 = 1,642.02/x
  3. Step 3: Cross multiply
    1,900.37x = 2,836.79 × 1,642.02
  4. Step 4: Simplify right side
    1,900.37x = 4,658,057.71
  5. Step 5: Solve for x
    x = 4,658,057.71/1,900.37
  6. Step 6: Final answer
    x = 2,451.14

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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.