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Finding the Fourth Proportional to 2,034.02, 3,051.03 and 1,628.21

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Solution

The fourth proportional to 2,034.02, 3,051.03 and 1,628.21 is: 2,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.02 : 3,051.03 = 1,628.21 : x
  2. Step 2: Convert to fraction form
    2,034.02/3,051.03 = 1,628.21/x
  3. Step 3: Cross multiply
    2,034.02x = 3,051.03 × 1,628.21
  4. Step 4: Simplify right side
    2,034.02x = 4,967,717.56
  5. Step 5: Solve for x
    x = 4,967,717.56/2,034.02
  6. Step 6: Final answer
    x = 2,442.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.