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Finding the Fourth Proportional to 1,709.72, 2,359.42 and 923.77

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Solution

The fourth proportional to 1,709.72, 2,359.42 and 923.77 is: 1,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.72 : 2,359.42 = 923.77 : x
  2. Step 2: Convert to fraction form
    1,709.72/2,359.42 = 923.77/x
  3. Step 3: Cross multiply
    1,709.72x = 2,359.42 × 923.77
  4. Step 4: Simplify right side
    1,709.72x = 2,179,562.05
  5. Step 5: Solve for x
    x = 2,179,562.05/1,709.72
  6. Step 6: Final answer
    x = 1,274.81

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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.