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Finding the Fourth Proportional to 2,334.56, 3,499.68 and 874.67

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Solution

The fourth proportional to 2,334.56, 3,499.68 and 874.67 is: 1,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.56 : 3,499.68 = 874.67 : x
  2. Step 2: Convert to fraction form
    2,334.56/3,499.68 = 874.67/x
  3. Step 3: Cross multiply
    2,334.56x = 3,499.68 × 874.67
  4. Step 4: Simplify right side
    2,334.56x = 3,061,065.11
  5. Step 5: Solve for x
    x = 3,061,065.11/2,334.56
  6. Step 6: Final answer
    x = 1,311.20

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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.