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Finding the Fourth Proportional to 3,006.34, 4,506.79 and 1,274.02

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Solution

The fourth proportional to 3,006.34, 4,506.79 and 1,274.02 is: 1,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.34 : 4,506.79 = 1,274.02 : x
  2. Step 2: Convert to fraction form
    3,006.34/4,506.79 = 1,274.02/x
  3. Step 3: Cross multiply
    3,006.34x = 4,506.79 × 1,274.02
  4. Step 4: Simplify right side
    3,006.34x = 5,741,740.60
  5. Step 5: Solve for x
    x = 5,741,740.60/3,006.34
  6. Step 6: Final answer
    x = 1,909.88

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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.