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Finding the Fourth Proportional to 2,383.48, 3,288.63 and 1,824.58

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Solution

The fourth proportional to 2,383.48, 3,288.63 and 1,824.58 is: 2,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.48 : 3,288.63 = 1,824.58 : x
  2. Step 2: Convert to fraction form
    2,383.48/3,288.63 = 1,824.58/x
  3. Step 3: Cross multiply
    2,383.48x = 3,288.63 × 1,824.58
  4. Step 4: Simplify right side
    2,383.48x = 6,000,368.53
  5. Step 5: Solve for x
    x = 6,000,368.53/2,383.48
  6. Step 6: Final answer
    x = 2,517.48

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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.