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Finding the Fourth Proportional to 2,111.52, 3,167.10 and 650.53

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Solution

The fourth proportional to 2,111.52, 3,167.10 and 650.53 is: 975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.52 : 3,167.10 = 650.53 : x
  2. Step 2: Convert to fraction form
    2,111.52/3,167.10 = 650.53/x
  3. Step 3: Cross multiply
    2,111.52x = 3,167.10 × 650.53
  4. Step 4: Simplify right side
    2,111.52x = 2,060,297.52
  5. Step 5: Solve for x
    x = 2,060,297.52/2,111.52
  6. Step 6: Final answer
    x = 975.74

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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.