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Finding the Fourth Proportional to 1,824.84, 2,518.36 and 1,028.49

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Solution

The fourth proportional to 1,824.84, 2,518.36 and 1,028.49 is: 1,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.84 : 2,518.36 = 1,028.49 : x
  2. Step 2: Convert to fraction form
    1,824.84/2,518.36 = 1,028.49/x
  3. Step 3: Cross multiply
    1,824.84x = 2,518.36 × 1,028.49
  4. Step 4: Simplify right side
    1,824.84x = 2,590,116.01
  5. Step 5: Solve for x
    x = 2,590,116.01/1,824.84
  6. Step 6: Final answer
    x = 1,419.37

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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.