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Finding the Fourth Proportional to 1,796.08, 2,478.72 and 1,298.56

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Solution

The fourth proportional to 1,796.08, 2,478.72 and 1,298.56 is: 1,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.08 : 2,478.72 = 1,298.56 : x
  2. Step 2: Convert to fraction form
    1,796.08/2,478.72 = 1,298.56/x
  3. Step 3: Cross multiply
    1,796.08x = 2,478.72 × 1,298.56
  4. Step 4: Simplify right side
    1,796.08x = 3,218,766.64
  5. Step 5: Solve for x
    x = 3,218,766.64/1,796.08
  6. Step 6: Final answer
    x = 1,792.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.