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Finding the Fourth Proportional to 1,904.56, 2,627.46 and 1,205.50

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Solution

The fourth proportional to 1,904.56, 2,627.46 and 1,205.50 is: 1,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.56 : 2,627.46 = 1,205.50 : x
  2. Step 2: Convert to fraction form
    1,904.56/2,627.46 = 1,205.50/x
  3. Step 3: Cross multiply
    1,904.56x = 2,627.46 × 1,205.50
  4. Step 4: Simplify right side
    1,904.56x = 3,167,403.03
  5. Step 5: Solve for x
    x = 3,167,403.03/1,904.56
  6. Step 6: Final answer
    x = 1,663.06

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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.