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Finding the Fourth Proportional to 1,620.30, 2,430.96 and 683.67

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Solution

The fourth proportional to 1,620.30, 2,430.96 and 683.67 is: 1,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.30 : 2,430.96 = 683.67 : x
  2. Step 2: Convert to fraction form
    1,620.30/2,430.96 = 683.67/x
  3. Step 3: Cross multiply
    1,620.30x = 2,430.96 × 683.67
  4. Step 4: Simplify right side
    1,620.30x = 1,661,971.86
  5. Step 5: Solve for x
    x = 1,661,971.86/1,620.30
  6. Step 6: Final answer
    x = 1,025.72

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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.