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Finding the Fourth Proportional to 2,112.54, 3,167.59 and 651.30

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Solution

The fourth proportional to 2,112.54, 3,167.59 and 651.30 is: 976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.54 : 3,167.59 = 651.30 : x
  2. Step 2: Convert to fraction form
    2,112.54/3,167.59 = 651.30/x
  3. Step 3: Cross multiply
    2,112.54x = 3,167.59 × 651.30
  4. Step 4: Simplify right side
    2,112.54x = 2,063,051.37
  5. Step 5: Solve for x
    x = 2,063,051.37/2,112.54
  6. Step 6: Final answer
    x = 976.57

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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.