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Finding the Fourth Proportional to 2,287.81, 3,157.16 and 1,293.08

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Solution

The fourth proportional to 2,287.81, 3,157.16 and 1,293.08 is: 1,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.81 : 3,157.16 = 1,293.08 : x
  2. Step 2: Convert to fraction form
    2,287.81/3,157.16 = 1,293.08/x
  3. Step 3: Cross multiply
    2,287.81x = 3,157.16 × 1,293.08
  4. Step 4: Simplify right side
    2,287.81x = 4,082,467.17
  5. Step 5: Solve for x
    x = 4,082,467.17/2,287.81
  6. Step 6: Final answer
    x = 1,784.45

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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.