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Finding the Fourth Proportional to 2,151.90, 2,969.75 and 1,208

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Solution

The fourth proportional to 2,151.90, 2,969.75 and 1,208 is: 1,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.90 : 2,969.75 = 1,208 : x
  2. Step 2: Convert to fraction form
    2,151.90/2,969.75 = 1,208/x
  3. Step 3: Cross multiply
    2,151.90x = 2,969.75 × 1,208
  4. Step 4: Simplify right side
    2,151.90x = 3,587,458
  5. Step 5: Solve for x
    x = 3,587,458/2,151.90
  6. Step 6: Final answer
    x = 1,667.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.