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Finding the Fourth Proportional to 2,035.86, 3,053.79 and 1,745.49

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Solution

The fourth proportional to 2,035.86, 3,053.79 and 1,745.49 is: 2,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.86 : 3,053.79 = 1,745.49 : x
  2. Step 2: Convert to fraction form
    2,035.86/3,053.79 = 1,745.49/x
  3. Step 3: Cross multiply
    2,035.86x = 3,053.79 × 1,745.49
  4. Step 4: Simplify right side
    2,035.86x = 5,330,359.91
  5. Step 5: Solve for x
    x = 5,330,359.91/2,035.86
  6. Step 6: Final answer
    x = 2,618.24

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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.