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Finding the Fourth Proportional to 1,719.06, 2,372.25 and 933.09

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Solution

The fourth proportional to 1,719.06, 2,372.25 and 933.09 is: 1,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.06 : 2,372.25 = 933.09 : x
  2. Step 2: Convert to fraction form
    1,719.06/2,372.25 = 933.09/x
  3. Step 3: Cross multiply
    1,719.06x = 2,372.25 × 933.09
  4. Step 4: Simplify right side
    1,719.06x = 2,213,517.36
  5. Step 5: Solve for x
    x = 2,213,517.36/1,719.06
  6. Step 6: Final answer
    x = 1,287.64

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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.