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Finding the Fourth Proportional to 1,322.88, 1,826.52 and 881.82

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Solution

The fourth proportional to 1,322.88, 1,826.52 and 881.82 is: 1,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.88 : 1,826.52 = 881.82 : x
  2. Step 2: Convert to fraction form
    1,322.88/1,826.52 = 881.82/x
  3. Step 3: Cross multiply
    1,322.88x = 1,826.52 × 881.82
  4. Step 4: Simplify right side
    1,322.88x = 1,610,661.87
  5. Step 5: Solve for x
    x = 1,610,661.87/1,322.88
  6. Step 6: Final answer
    x = 1,217.54

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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.