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Finding the Fourth Proportional to 2,857.31, 3,941.47 and 1,678.16

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Solution

The fourth proportional to 2,857.31, 3,941.47 and 1,678.16 is: 2,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.31 : 3,941.47 = 1,678.16 : x
  2. Step 2: Convert to fraction form
    2,857.31/3,941.47 = 1,678.16/x
  3. Step 3: Cross multiply
    2,857.31x = 3,941.47 × 1,678.16
  4. Step 4: Simplify right side
    2,857.31x = 6,614,417.30
  5. Step 5: Solve for x
    x = 6,614,417.30/2,857.31
  6. Step 6: Final answer
    x = 2,314.91

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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.