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Finding the Fourth Proportional to 2,307.64, 3,183.63 and 1,421.91

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Solution

The fourth proportional to 2,307.64, 3,183.63 and 1,421.91 is: 1,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.64 : 3,183.63 = 1,421.91 : x
  2. Step 2: Convert to fraction form
    2,307.64/3,183.63 = 1,421.91/x
  3. Step 3: Cross multiply
    2,307.64x = 3,183.63 × 1,421.91
  4. Step 4: Simplify right side
    2,307.64x = 4,526,835.33
  5. Step 5: Solve for x
    x = 4,526,835.33/2,307.64
  6. Step 6: Final answer
    x = 1,961.67

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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.