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Finding the Fourth Proportional to 4,790.74, 7,184.70 and 1,669.98

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Solution

The fourth proportional to 4,790.74, 7,184.70 and 1,669.98 is: 2,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790.74 : 7,184.70 = 1,669.98 : x
  2. Step 2: Convert to fraction form
    4,790.74/7,184.70 = 1,669.98/x
  3. Step 3: Cross multiply
    4,790.74x = 7,184.70 × 1,669.98
  4. Step 4: Simplify right side
    4,790.74x = 11,998,305.31
  5. Step 5: Solve for x
    x = 11,998,305.31/4,790.74
  6. Step 6: Final answer
    x = 2,504.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.