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Finding the Fourth Proportional to 2,050.34, 3,056.04 and 1,982.84

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Solution

The fourth proportional to 2,050.34, 3,056.04 and 1,982.84 is: 2,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.34 : 3,056.04 = 1,982.84 : x
  2. Step 2: Convert to fraction form
    2,050.34/3,056.04 = 1,982.84/x
  3. Step 3: Cross multiply
    2,050.34x = 3,056.04 × 1,982.84
  4. Step 4: Simplify right side
    2,050.34x = 6,059,638.35
  5. Step 5: Solve for x
    x = 6,059,638.35/2,050.34
  6. Step 6: Final answer
    x = 2,955.43

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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.