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Finding the Fourth Proportional to 1,323.21, 1,822.32 and 1,294.51

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Solution

The fourth proportional to 1,323.21, 1,822.32 and 1,294.51 is: 1,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.21 : 1,822.32 = 1,294.51 : x
  2. Step 2: Convert to fraction form
    1,323.21/1,822.32 = 1,294.51/x
  3. Step 3: Cross multiply
    1,323.21x = 1,822.32 × 1,294.51
  4. Step 4: Simplify right side
    1,323.21x = 2,359,011.46
  5. Step 5: Solve for x
    x = 2,359,011.46/1,323.21
  6. Step 6: Final answer
    x = 1,782.79

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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.