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Finding the Fourth Proportional to 3,000.17, 4,500.77 and 1,025.66

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Solution

The fourth proportional to 3,000.17, 4,500.77 and 1,025.66 is: 1,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.17 : 4,500.77 = 1,025.66 : x
  2. Step 2: Convert to fraction form
    3,000.17/4,500.77 = 1,025.66/x
  3. Step 3: Cross multiply
    3,000.17x = 4,500.77 × 1,025.66
  4. Step 4: Simplify right side
    3,000.17x = 4,616,265.88
  5. Step 5: Solve for x
    x = 4,616,265.88/3,000.17
  6. Step 6: Final answer
    x = 1,538.67

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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.