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Finding the Fourth Proportional to 3,024.75, 4,174.88 and 1,846.82

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Solution

The fourth proportional to 3,024.75, 4,174.88 and 1,846.82 is: 2,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.75 : 4,174.88 = 1,846.82 : x
  2. Step 2: Convert to fraction form
    3,024.75/4,174.88 = 1,846.82/x
  3. Step 3: Cross multiply
    3,024.75x = 4,174.88 × 1,846.82
  4. Step 4: Simplify right side
    3,024.75x = 7,710,221.77
  5. Step 5: Solve for x
    x = 7,710,221.77/3,024.75
  6. Step 6: Final answer
    x = 2,549.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.