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Finding the Fourth Proportional to 3,152, 4,349.76 and 1,825.94

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Solution

The fourth proportional to 3,152, 4,349.76 and 1,825.94 is: 2,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152 : 4,349.76 = 1,825.94 : x
  2. Step 2: Convert to fraction form
    3,152/4,349.76 = 1,825.94/x
  3. Step 3: Cross multiply
    3,152x = 4,349.76 × 1,825.94
  4. Step 4: Simplify right side
    3,152x = 7,942,400.77
  5. Step 5: Solve for x
    x = 7,942,400.77/3,152
  6. Step 6: Final answer
    x = 2,519.80

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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.