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Finding the Fourth Proportional to 1,764.22, 2,435.43 and 1,323.58

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Solution

The fourth proportional to 1,764.22, 2,435.43 and 1,323.58 is: 1,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.22 : 2,435.43 = 1,323.58 : x
  2. Step 2: Convert to fraction form
    1,764.22/2,435.43 = 1,323.58/x
  3. Step 3: Cross multiply
    1,764.22x = 2,435.43 × 1,323.58
  4. Step 4: Simplify right side
    1,764.22x = 3,223,486.44
  5. Step 5: Solve for x
    x = 3,223,486.44/1,764.22
  6. Step 6: Final answer
    x = 1,827.15

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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.