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Finding the Fourth Proportional to 1,902.12, 2,624.64 and 1,271.64

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Solution

The fourth proportional to 1,902.12, 2,624.64 and 1,271.64 is: 1,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.12 : 2,624.64 = 1,271.64 : x
  2. Step 2: Convert to fraction form
    1,902.12/2,624.64 = 1,271.64/x
  3. Step 3: Cross multiply
    1,902.12x = 2,624.64 × 1,271.64
  4. Step 4: Simplify right side
    1,902.12x = 3,337,597.21
  5. Step 5: Solve for x
    x = 3,337,597.21/1,902.12
  6. Step 6: Final answer
    x = 1,754.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.