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Finding the Fourth Proportional to 1,832.79, 2,527.83 and 1,242.30

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Solution

The fourth proportional to 1,832.79, 2,527.83 and 1,242.30 is: 1,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.79 : 2,527.83 = 1,242.30 : x
  2. Step 2: Convert to fraction form
    1,832.79/2,527.83 = 1,242.30/x
  3. Step 3: Cross multiply
    1,832.79x = 2,527.83 × 1,242.30
  4. Step 4: Simplify right side
    1,832.79x = 3,140,323.21
  5. Step 5: Solve for x
    x = 3,140,323.21/1,832.79
  6. Step 6: Final answer
    x = 1,713.41

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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.