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Finding the Fourth Proportional to 3,070.38, 4,609.15 and 1,511.67

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Solution

The fourth proportional to 3,070.38, 4,609.15 and 1,511.67 is: 2,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.38 : 4,609.15 = 1,511.67 : x
  2. Step 2: Convert to fraction form
    3,070.38/4,609.15 = 1,511.67/x
  3. Step 3: Cross multiply
    3,070.38x = 4,609.15 × 1,511.67
  4. Step 4: Simplify right side
    3,070.38x = 6,967,510.00
  5. Step 5: Solve for x
    x = 6,967,510.00/3,070.38
  6. Step 6: Final answer
    x = 2,269.27

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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.