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Finding the Fourth Proportional to 1,600.83, 2,403.68 and 1,328.67

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Solution

The fourth proportional to 1,600.83, 2,403.68 and 1,328.67 is: 1,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.83 : 2,403.68 = 1,328.67 : x
  2. Step 2: Convert to fraction form
    1,600.83/2,403.68 = 1,328.67/x
  3. Step 3: Cross multiply
    1,600.83x = 2,403.68 × 1,328.67
  4. Step 4: Simplify right side
    1,600.83x = 3,193,690.86
  5. Step 5: Solve for x
    x = 3,193,690.86/1,600.83
  6. Step 6: Final answer
    x = 1,995.02

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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.