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Finding the Fourth Proportional to 3,000.90, 4,496.48 and 2,271.90

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Solution

The fourth proportional to 3,000.90, 4,496.48 and 2,271.90 is: 3,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.90 : 4,496.48 = 2,271.90 : x
  2. Step 2: Convert to fraction form
    3,000.90/4,496.48 = 2,271.90/x
  3. Step 3: Cross multiply
    3,000.90x = 4,496.48 × 2,271.90
  4. Step 4: Simplify right side
    3,000.90x = 10,215,536.11
  5. Step 5: Solve for x
    x = 10,215,536.11/3,000.90
  6. Step 6: Final answer
    x = 3,404.16

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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.