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Finding the Fourth Proportional to 1,658.37, 2,506.34 and 1,629.67

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Solution

The fourth proportional to 1,658.37, 2,506.34 and 1,629.67 is: 2,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.37 : 2,506.34 = 1,629.67 : x
  2. Step 2: Convert to fraction form
    1,658.37/2,506.34 = 1,629.67/x
  3. Step 3: Cross multiply
    1,658.37x = 2,506.34 × 1,629.67
  4. Step 4: Simplify right side
    1,658.37x = 4,084,509.62
  5. Step 5: Solve for x
    x = 4,084,509.62/1,658.37
  6. Step 6: Final answer
    x = 2,462.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.