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Finding the Fourth Proportional to 2,368.68, 3,268.82 and 1,320.80

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Solution

The fourth proportional to 2,368.68, 3,268.82 and 1,320.80 is: 1,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.68 : 3,268.82 = 1,320.80 : x
  2. Step 2: Convert to fraction form
    2,368.68/3,268.82 = 1,320.80/x
  3. Step 3: Cross multiply
    2,368.68x = 3,268.82 × 1,320.80
  4. Step 4: Simplify right side
    2,368.68x = 4,317,457.46
  5. Step 5: Solve for x
    x = 4,317,457.46/2,368.68
  6. Step 6: Final answer
    x = 1,822.73

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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.