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Finding the Fourth Proportional to 3,126.42, 4,313.94 and 2,007

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Solution

The fourth proportional to 3,126.42, 4,313.94 and 2,007 is: 2,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.42 : 4,313.94 = 2,007 : x
  2. Step 2: Convert to fraction form
    3,126.42/4,313.94 = 2,007/x
  3. Step 3: Cross multiply
    3,126.42x = 4,313.94 × 2,007
  4. Step 4: Simplify right side
    3,126.42x = 8,658,077.58
  5. Step 5: Solve for x
    x = 8,658,077.58/3,126.42
  6. Step 6: Final answer
    x = 2,769.33

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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.