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Finding the Fourth Proportional to 2,066.94, 3,101.76 and 1,900.08

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Solution

The fourth proportional to 2,066.94, 3,101.76 and 1,900.08 is: 2,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.94 : 3,101.76 = 1,900.08 : x
  2. Step 2: Convert to fraction form
    2,066.94/3,101.76 = 1,900.08/x
  3. Step 3: Cross multiply
    2,066.94x = 3,101.76 × 1,900.08
  4. Step 4: Simplify right side
    2,066.94x = 5,893,592.14
  5. Step 5: Solve for x
    x = 5,893,592.14/2,066.94
  6. Step 6: Final answer
    x = 2,851.36

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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.