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Finding the Fourth Proportional to 2,827.61, 3,902.12 and 1,632.50

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Solution

The fourth proportional to 2,827.61, 3,902.12 and 1,632.50 is: 2,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.61 : 3,902.12 = 1,632.50 : x
  2. Step 2: Convert to fraction form
    2,827.61/3,902.12 = 1,632.50/x
  3. Step 3: Cross multiply
    2,827.61x = 3,902.12 × 1,632.50
  4. Step 4: Simplify right side
    2,827.61x = 6,370,235.11
  5. Step 5: Solve for x
    x = 6,370,235.11/2,827.61
  6. Step 6: Final answer
    x = 2,252.87

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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.