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Finding the Fourth Proportional to 4,602.69, 6,903.89 and 1,271.14

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Solution

The fourth proportional to 4,602.69, 6,903.89 and 1,271.14 is: 1,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.69 : 6,903.89 = 1,271.14 : x
  2. Step 2: Convert to fraction form
    4,602.69/6,903.89 = 1,271.14/x
  3. Step 3: Cross multiply
    4,602.69x = 6,903.89 × 1,271.14
  4. Step 4: Simplify right side
    4,602.69x = 8,775,784.85
  5. Step 5: Solve for x
    x = 8,775,784.85/4,602.69
  6. Step 6: Final answer
    x = 1,906.67

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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.