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Finding the Fourth Proportional to 1,923.53, 2,655.68 and 1,394.17

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Solution

The fourth proportional to 1,923.53, 2,655.68 and 1,394.17 is: 1,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.53 : 2,655.68 = 1,394.17 : x
  2. Step 2: Convert to fraction form
    1,923.53/2,655.68 = 1,394.17/x
  3. Step 3: Cross multiply
    1,923.53x = 2,655.68 × 1,394.17
  4. Step 4: Simplify right side
    1,923.53x = 3,702,455.78
  5. Step 5: Solve for x
    x = 3,702,455.78/1,923.53
  6. Step 6: Final answer
    x = 1,924.83

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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.