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Finding the Fourth Proportional to 2,111.90, 3,167.91 and 651.08

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Solution

The fourth proportional to 2,111.90, 3,167.91 and 651.08 is: 976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.90 : 3,167.91 = 651.08 : x
  2. Step 2: Convert to fraction form
    2,111.90/3,167.91 = 651.08/x
  3. Step 3: Cross multiply
    2,111.90x = 3,167.91 × 651.08
  4. Step 4: Simplify right side
    2,111.90x = 2,062,562.84
  5. Step 5: Solve for x
    x = 2,062,562.84/2,111.90
  6. Step 6: Final answer
    x = 976.64

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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.