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Finding the Fourth Proportional to 2,111.47, 3,167.30 and 650.43

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Solution

The fourth proportional to 2,111.47, 3,167.30 and 650.43 is: 975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.47 : 3,167.30 = 650.43 : x
  2. Step 2: Convert to fraction form
    2,111.47/3,167.30 = 650.43/x
  3. Step 3: Cross multiply
    2,111.47x = 3,167.30 × 650.43
  4. Step 4: Simplify right side
    2,111.47x = 2,060,108.57
  5. Step 5: Solve for x
    x = 2,060,108.57/2,111.47
  6. Step 6: Final answer
    x = 975.68

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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.