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Finding the Fourth Proportional to 2,151.94, 2,969.71 and 1,207.94

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Solution

The fourth proportional to 2,151.94, 2,969.71 and 1,207.94 is: 1,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.94 : 2,969.71 = 1,207.94 : x
  2. Step 2: Convert to fraction form
    2,151.94/2,969.71 = 1,207.94/x
  3. Step 3: Cross multiply
    2,151.94x = 2,969.71 × 1,207.94
  4. Step 4: Simplify right side
    2,151.94x = 3,587,213.63
  5. Step 5: Solve for x
    x = 3,587,213.63/2,151.94
  6. Step 6: Final answer
    x = 1,666.97

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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.