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Finding the Fourth Proportional to 1,701.08, 2,551.64 and 531.11

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Solution

The fourth proportional to 1,701.08, 2,551.64 and 531.11 is: 796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.08 : 2,551.64 = 531.11 : x
  2. Step 2: Convert to fraction form
    1,701.08/2,551.64 = 531.11/x
  3. Step 3: Cross multiply
    1,701.08x = 2,551.64 × 531.11
  4. Step 4: Simplify right side
    1,701.08x = 1,355,201.52
  5. Step 5: Solve for x
    x = 1,355,201.52/1,701.08
  6. Step 6: Final answer
    x = 796.67

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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.