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Finding the Fourth Proportional to 2,126.39, 3,186.35 and 970.79

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Solution

The fourth proportional to 2,126.39, 3,186.35 and 970.79 is: 1,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.39 : 3,186.35 = 970.79 : x
  2. Step 2: Convert to fraction form
    2,126.39/3,186.35 = 970.79/x
  3. Step 3: Cross multiply
    2,126.39x = 3,186.35 × 970.79
  4. Step 4: Simplify right side
    2,126.39x = 3,093,271.86
  5. Step 5: Solve for x
    x = 3,093,271.86/2,126.39
  6. Step 6: Final answer
    x = 1,454.71

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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.