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Finding the Fourth Proportional to 2,796.64, 4,197.12 and 1,258.72

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Solution

The fourth proportional to 2,796.64, 4,197.12 and 1,258.72 is: 1,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.64 : 4,197.12 = 1,258.72 : x
  2. Step 2: Convert to fraction form
    2,796.64/4,197.12 = 1,258.72/x
  3. Step 3: Cross multiply
    2,796.64x = 4,197.12 × 1,258.72
  4. Step 4: Simplify right side
    2,796.64x = 5,282,998.89
  5. Step 5: Solve for x
    x = 5,282,998.89/2,796.64
  6. Step 6: Final answer
    x = 1,889.05

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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.