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Finding the Fourth Proportional to 2,050.94, 3,073.16 and 1,076.06

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Solution

The fourth proportional to 2,050.94, 3,073.16 and 1,076.06 is: 1,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.94 : 3,073.16 = 1,076.06 : x
  2. Step 2: Convert to fraction form
    2,050.94/3,073.16 = 1,076.06/x
  3. Step 3: Cross multiply
    2,050.94x = 3,073.16 × 1,076.06
  4. Step 4: Simplify right side
    2,050.94x = 3,306,904.55
  5. Step 5: Solve for x
    x = 3,306,904.55/2,050.94
  6. Step 6: Final answer
    x = 1,612.38

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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.