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Finding the Fourth Proportional to 3,153.41, 4,351.65 and 1,827.08

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Solution

The fourth proportional to 3,153.41, 4,351.65 and 1,827.08 is: 2,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.41 : 4,351.65 = 1,827.08 : x
  2. Step 2: Convert to fraction form
    3,153.41/4,351.65 = 1,827.08/x
  3. Step 3: Cross multiply
    3,153.41x = 4,351.65 × 1,827.08
  4. Step 4: Simplify right side
    3,153.41x = 7,950,790.92
  5. Step 5: Solve for x
    x = 7,950,790.92/3,153.41
  6. Step 6: Final answer
    x = 2,521.34

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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.