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Finding the Fourth Proportional to 2,599.44, 3,897.06 and 1,775.64

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Solution

The fourth proportional to 2,599.44, 3,897.06 and 1,775.64 is: 2,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.44 : 3,897.06 = 1,775.64 : x
  2. Step 2: Convert to fraction form
    2,599.44/3,897.06 = 1,775.64/x
  3. Step 3: Cross multiply
    2,599.44x = 3,897.06 × 1,775.64
  4. Step 4: Simplify right side
    2,599.44x = 6,919,775.62
  5. Step 5: Solve for x
    x = 6,919,775.62/2,599.44
  6. Step 6: Final answer
    x = 2,662.03

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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.