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Finding the Fourth Proportional to 2,835.84, 4,252.32 and 1,296

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Solution

The fourth proportional to 2,835.84, 4,252.32 and 1,296 is: 1,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.84 : 4,252.32 = 1,296 : x
  2. Step 2: Convert to fraction form
    2,835.84/4,252.32 = 1,296/x
  3. Step 3: Cross multiply
    2,835.84x = 4,252.32 × 1,296
  4. Step 4: Simplify right side
    2,835.84x = 5,511,006.72
  5. Step 5: Solve for x
    x = 5,511,006.72/2,835.84
  6. Step 6: Final answer
    x = 1,943.34

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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.