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Finding the Fourth Proportional to 2,271.64, 3,404.47 and 2,123.67

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Solution

The fourth proportional to 2,271.64, 3,404.47 and 2,123.67 is: 3,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.64 : 3,404.47 = 2,123.67 : x
  2. Step 2: Convert to fraction form
    2,271.64/3,404.47 = 2,123.67/x
  3. Step 3: Cross multiply
    2,271.64x = 3,404.47 × 2,123.67
  4. Step 4: Simplify right side
    2,271.64x = 7,229,970.80
  5. Step 5: Solve for x
    x = 7,229,970.80/2,271.64
  6. Step 6: Final answer
    x = 3,182.71

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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.