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Finding the Fourth Proportional to 3,047.61, 4,571.42 and 1,731.77

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Solution

The fourth proportional to 3,047.61, 4,571.42 and 1,731.77 is: 2,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.61 : 4,571.42 = 1,731.77 : x
  2. Step 2: Convert to fraction form
    3,047.61/4,571.42 = 1,731.77/x
  3. Step 3: Cross multiply
    3,047.61x = 4,571.42 × 1,731.77
  4. Step 4: Simplify right side
    3,047.61x = 7,916,648.01
  5. Step 5: Solve for x
    x = 7,916,648.01/3,047.61
  6. Step 6: Final answer
    x = 2,597.66

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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.