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Finding the Fourth Proportional to 2,777.48, 4,168.27 and 1,316.64

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Solution

The fourth proportional to 2,777.48, 4,168.27 and 1,316.64 is: 1,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.48 : 4,168.27 = 1,316.64 : x
  2. Step 2: Convert to fraction form
    2,777.48/4,168.27 = 1,316.64/x
  3. Step 3: Cross multiply
    2,777.48x = 4,168.27 × 1,316.64
  4. Step 4: Simplify right side
    2,777.48x = 5,488,090.17
  5. Step 5: Solve for x
    x = 5,488,090.17/2,777.48
  6. Step 6: Final answer
    x = 1,975.92

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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.