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Finding the Fourth Proportional to 1,635.14, 2,255.72 and 971.61

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Solution

The fourth proportional to 1,635.14, 2,255.72 and 971.61 is: 1,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.14 : 2,255.72 = 971.61 : x
  2. Step 2: Convert to fraction form
    1,635.14/2,255.72 = 971.61/x
  3. Step 3: Cross multiply
    1,635.14x = 2,255.72 × 971.61
  4. Step 4: Simplify right side
    1,635.14x = 2,191,675.25
  5. Step 5: Solve for x
    x = 2,191,675.25/1,635.14
  6. Step 6: Final answer
    x = 1,340.36

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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.