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Finding the Fourth Proportional to 2,126.14, 3,185.97 and 970.54

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Solution

The fourth proportional to 2,126.14, 3,185.97 and 970.54 is: 1,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.14 : 3,185.97 = 970.54 : x
  2. Step 2: Convert to fraction form
    2,126.14/3,185.97 = 970.54/x
  3. Step 3: Cross multiply
    2,126.14x = 3,185.97 × 970.54
  4. Step 4: Simplify right side
    2,126.14x = 3,092,111.32
  5. Step 5: Solve for x
    x = 3,092,111.32/2,126.14
  6. Step 6: Final answer
    x = 1,454.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.