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Finding the Fourth Proportional to 1,322.19, 1,822.82 and 1,023.89

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Solution

The fourth proportional to 1,322.19, 1,822.82 and 1,023.89 is: 1,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.19 : 1,822.82 = 1,023.89 : x
  2. Step 2: Convert to fraction form
    1,322.19/1,822.82 = 1,023.89/x
  3. Step 3: Cross multiply
    1,322.19x = 1,822.82 × 1,023.89
  4. Step 4: Simplify right side
    1,322.19x = 1,866,352.94
  5. Step 5: Solve for x
    x = 1,866,352.94/1,322.19
  6. Step 6: Final answer
    x = 1,411.56

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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.