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Finding the Fourth Proportional to 3,051.54, 4,211.14 and 1,931.31

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Solution

The fourth proportional to 3,051.54, 4,211.14 and 1,931.31 is: 2,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.54 : 4,211.14 = 1,931.31 : x
  2. Step 2: Convert to fraction form
    3,051.54/4,211.14 = 1,931.31/x
  3. Step 3: Cross multiply
    3,051.54x = 4,211.14 × 1,931.31
  4. Step 4: Simplify right side
    3,051.54x = 8,133,007.14
  5. Step 5: Solve for x
    x = 8,133,007.14/3,051.54
  6. Step 6: Final answer
    x = 2,665.21

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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.