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Finding the Fourth Proportional to 2,330.37, 3,497.07 and 2,176.67

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Solution

The fourth proportional to 2,330.37, 3,497.07 and 2,176.67 is: 3,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.37 : 3,497.07 = 2,176.67 : x
  2. Step 2: Convert to fraction form
    2,330.37/3,497.07 = 2,176.67/x
  3. Step 3: Cross multiply
    2,330.37x = 3,497.07 × 2,176.67
  4. Step 4: Simplify right side
    2,330.37x = 7,611,984.26
  5. Step 5: Solve for x
    x = 7,611,984.26/2,330.37
  6. Step 6: Final answer
    x = 3,266.43

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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.