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Finding the Fourth Proportional to 1,828.92, 2,523.96 and 1,032.25

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Solution

The fourth proportional to 1,828.92, 2,523.96 and 1,032.25 is: 1,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.92 : 2,523.96 = 1,032.25 : x
  2. Step 2: Convert to fraction form
    1,828.92/2,523.96 = 1,032.25/x
  3. Step 3: Cross multiply
    1,828.92x = 2,523.96 × 1,032.25
  4. Step 4: Simplify right side
    1,828.92x = 2,605,357.71
  5. Step 5: Solve for x
    x = 2,605,357.71/1,828.92
  6. Step 6: Final answer
    x = 1,424.54

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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.