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Finding the Fourth Proportional to 2,645.31, 3,650.64 and 1,466.38

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Solution

The fourth proportional to 2,645.31, 3,650.64 and 1,466.38 is: 2,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.31 : 3,650.64 = 1,466.38 : x
  2. Step 2: Convert to fraction form
    2,645.31/3,650.64 = 1,466.38/x
  3. Step 3: Cross multiply
    2,645.31x = 3,650.64 × 1,466.38
  4. Step 4: Simplify right side
    2,645.31x = 5,353,225.48
  5. Step 5: Solve for x
    x = 5,353,225.48/2,645.31
  6. Step 6: Final answer
    x = 2,023.67

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Why These Related Problems?

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