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Finding the Fourth Proportional to 2,030.61, 3,044.74 and 796.58

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Solution

The fourth proportional to 2,030.61, 3,044.74 and 796.58 is: 1,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.61 : 3,044.74 = 796.58 : x
  2. Step 2: Convert to fraction form
    2,030.61/3,044.74 = 796.58/x
  3. Step 3: Cross multiply
    2,030.61x = 3,044.74 × 796.58
  4. Step 4: Simplify right side
    2,030.61x = 2,425,378.99
  5. Step 5: Solve for x
    x = 2,425,378.99/2,030.61
  6. Step 6: Final answer
    x = 1,194.41

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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.