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Finding the Fourth Proportional to 2,773.44, 4,160.08 and 1,313.60

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Solution

The fourth proportional to 2,773.44, 4,160.08 and 1,313.60 is: 1,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.44 : 4,160.08 = 1,313.60 : x
  2. Step 2: Convert to fraction form
    2,773.44/4,160.08 = 1,313.60/x
  3. Step 3: Cross multiply
    2,773.44x = 4,160.08 × 1,313.60
  4. Step 4: Simplify right side
    2,773.44x = 5,464,681.09
  5. Step 5: Solve for x
    x = 5,464,681.09/2,773.44
  6. Step 6: Final answer
    x = 1,970.36

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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.