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Finding the Fourth Proportional to 2,525.64, 3,783.60 and 2,063.94

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Solution

The fourth proportional to 2,525.64, 3,783.60 and 2,063.94 is: 3,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.64 : 3,783.60 = 2,063.94 : x
  2. Step 2: Convert to fraction form
    2,525.64/3,783.60 = 2,063.94/x
  3. Step 3: Cross multiply
    2,525.64x = 3,783.60 × 2,063.94
  4. Step 4: Simplify right side
    2,525.64x = 7,809,123.38
  5. Step 5: Solve for x
    x = 7,809,123.38/2,525.64
  6. Step 6: Final answer
    x = 3,091.94

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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.