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Finding the Fourth Proportional to 3,099.74, 4,646.76 and 2,000.84

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Solution

The fourth proportional to 3,099.74, 4,646.76 and 2,000.84 is: 2,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.74 : 4,646.76 = 2,000.84 : x
  2. Step 2: Convert to fraction form
    3,099.74/4,646.76 = 2,000.84/x
  3. Step 3: Cross multiply
    3,099.74x = 4,646.76 × 2,000.84
  4. Step 4: Simplify right side
    3,099.74x = 9,297,423.28
  5. Step 5: Solve for x
    x = 9,297,423.28/3,099.74
  6. Step 6: Final answer
    x = 2,999.42

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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.