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Finding the Fourth Proportional to 2,138.54, 2,950.12 and 1,665.58

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Solution

The fourth proportional to 2,138.54, 2,950.12 and 1,665.58 is: 2,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.54 : 2,950.12 = 1,665.58 : x
  2. Step 2: Convert to fraction form
    2,138.54/2,950.12 = 1,665.58/x
  3. Step 3: Cross multiply
    2,138.54x = 2,950.12 × 1,665.58
  4. Step 4: Simplify right side
    2,138.54x = 4,913,660.87
  5. Step 5: Solve for x
    x = 4,913,660.87/2,138.54
  6. Step 6: Final answer
    x = 2,297.67

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1.5x scale

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.