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Finding the Fourth Proportional to 1,895.64, 2,845.74 and 1,848.54

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Solution

The fourth proportional to 1,895.64, 2,845.74 and 1,848.54 is: 2,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.64 : 2,845.74 = 1,848.54 : x
  2. Step 2: Convert to fraction form
    1,895.64/2,845.74 = 1,848.54/x
  3. Step 3: Cross multiply
    1,895.64x = 2,845.74 × 1,848.54
  4. Step 4: Simplify right side
    1,895.64x = 5,260,464.22
  5. Step 5: Solve for x
    x = 5,260,464.22/1,895.64
  6. Step 6: Final answer
    x = 2,775.03

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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.