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Finding the Fourth Proportional to 2,321.89, 3,484.56 and 1,445.67

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Solution

The fourth proportional to 2,321.89, 3,484.56 and 1,445.67 is: 2,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.89 : 3,484.56 = 1,445.67 : x
  2. Step 2: Convert to fraction form
    2,321.89/3,484.56 = 1,445.67/x
  3. Step 3: Cross multiply
    2,321.89x = 3,484.56 × 1,445.67
  4. Step 4: Simplify right side
    2,321.89x = 5,037,523.86
  5. Step 5: Solve for x
    x = 5,037,523.86/2,321.89
  6. Step 6: Final answer
    x = 2,169.58

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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.