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Finding the Fourth Proportional to 1,719.73, 2,373.22 and 933.78

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Solution

The fourth proportional to 1,719.73, 2,373.22 and 933.78 is: 1,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.73 : 2,373.22 = 933.78 : x
  2. Step 2: Convert to fraction form
    1,719.73/2,373.22 = 933.78/x
  3. Step 3: Cross multiply
    1,719.73x = 2,373.22 × 933.78
  4. Step 4: Simplify right side
    1,719.73x = 2,216,065.37
  5. Step 5: Solve for x
    x = 2,216,065.37/1,719.73
  6. Step 6: Final answer
    x = 1,288.61

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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.