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Finding the Fourth Proportional to 2,125.48, 3,185.10 and 1,028.56

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Solution

The fourth proportional to 2,125.48, 3,185.10 and 1,028.56 is: 1,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.48 : 3,185.10 = 1,028.56 : x
  2. Step 2: Convert to fraction form
    2,125.48/3,185.10 = 1,028.56/x
  3. Step 3: Cross multiply
    2,125.48x = 3,185.10 × 1,028.56
  4. Step 4: Simplify right side
    2,125.48x = 3,276,066.46
  5. Step 5: Solve for x
    x = 3,276,066.46/2,125.48
  6. Step 6: Final answer
    x = 1,541.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.