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Finding the Fourth Proportional to 2,054.59, 3,074.56 and 1,505.41

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Solution

The fourth proportional to 2,054.59, 3,074.56 and 1,505.41 is: 2,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.59 : 3,074.56 = 1,505.41 : x
  2. Step 2: Convert to fraction form
    2,054.59/3,074.56 = 1,505.41/x
  3. Step 3: Cross multiply
    2,054.59x = 3,074.56 × 1,505.41
  4. Step 4: Simplify right side
    2,054.59x = 4,628,461.92
  5. Step 5: Solve for x
    x = 4,628,461.92/2,054.59
  6. Step 6: Final answer
    x = 2,252.75

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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.