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Finding the Fourth Proportional to 3,127.44, 4,316.16 and 1,730.64

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Solution

The fourth proportional to 3,127.44, 4,316.16 and 1,730.64 is: 2,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.44 : 4,316.16 = 1,730.64 : x
  2. Step 2: Convert to fraction form
    3,127.44/4,316.16 = 1,730.64/x
  3. Step 3: Cross multiply
    3,127.44x = 4,316.16 × 1,730.64
  4. Step 4: Simplify right side
    3,127.44x = 7,469,719.14
  5. Step 5: Solve for x
    x = 7,469,719.14/3,127.44
  6. Step 6: Final answer
    x = 2,388.45

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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.