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Finding the Fourth Proportional to 2,076.66, 3,113.82 and 1,900.13

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Solution

The fourth proportional to 2,076.66, 3,113.82 and 1,900.13 is: 2,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.66 : 3,113.82 = 1,900.13 : x
  2. Step 2: Convert to fraction form
    2,076.66/3,113.82 = 1,900.13/x
  3. Step 3: Cross multiply
    2,076.66x = 3,113.82 × 1,900.13
  4. Step 4: Simplify right side
    2,076.66x = 5,916,647.23
  5. Step 5: Solve for x
    x = 5,916,647.23/2,076.66
  6. Step 6: Final answer
    x = 2,849.12

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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.