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Finding the Fourth Proportional to 1,396.08, 2,093.04 and 882

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Solution

The fourth proportional to 1,396.08, 2,093.04 and 882 is: 1,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.08 : 2,093.04 = 882 : x
  2. Step 2: Convert to fraction form
    1,396.08/2,093.04 = 882/x
  3. Step 3: Cross multiply
    1,396.08x = 2,093.04 × 882
  4. Step 4: Simplify right side
    1,396.08x = 1,846,061.28
  5. Step 5: Solve for x
    x = 1,846,061.28/1,396.08
  6. Step 6: Final answer
    x = 1,322.32

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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.