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Finding the Fourth Proportional to 3,074.94, 4,610.97 and 1,021.50

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Solution

The fourth proportional to 3,074.94, 4,610.97 and 1,021.50 is: 1,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.94 : 4,610.97 = 1,021.50 : x
  2. Step 2: Convert to fraction form
    3,074.94/4,610.97 = 1,021.50/x
  3. Step 3: Cross multiply
    3,074.94x = 4,610.97 × 1,021.50
  4. Step 4: Simplify right side
    3,074.94x = 4,710,105.86
  5. Step 5: Solve for x
    x = 4,710,105.86/3,074.94
  6. Step 6: Final answer
    x = 1,531.77

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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.