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Finding the Fourth Proportional to 2,324.08, 3,488.55 and 1,459

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Solution

The fourth proportional to 2,324.08, 3,488.55 and 1,459 is: 2,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.08 : 3,488.55 = 1,459 : x
  2. Step 2: Convert to fraction form
    2,324.08/3,488.55 = 1,459/x
  3. Step 3: Cross multiply
    2,324.08x = 3,488.55 × 1,459
  4. Step 4: Simplify right side
    2,324.08x = 5,089,794.45
  5. Step 5: Solve for x
    x = 5,089,794.45/2,324.08
  6. Step 6: Final answer
    x = 2,190.03

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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.