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Finding the Fourth Proportional to 2,111.53, 3,167.16 and 650.56

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Solution

The fourth proportional to 2,111.53, 3,167.16 and 650.56 is: 975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.53 : 3,167.16 = 650.56 : x
  2. Step 2: Convert to fraction form
    2,111.53/3,167.16 = 650.56/x
  3. Step 3: Cross multiply
    2,111.53x = 3,167.16 × 650.56
  4. Step 4: Simplify right side
    2,111.53x = 2,060,427.61
  5. Step 5: Solve for x
    x = 2,060,427.61/2,111.53
  6. Step 6: Final answer
    x = 975.80

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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.