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Finding the Fourth Proportional to 2,111.60, 3,167.70 and 650.48

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Solution

The fourth proportional to 2,111.60, 3,167.70 and 650.48 is: 975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.60 : 3,167.70 = 650.48 : x
  2. Step 2: Convert to fraction form
    2,111.60/3,167.70 = 650.48/x
  3. Step 3: Cross multiply
    2,111.60x = 3,167.70 × 650.48
  4. Step 4: Simplify right side
    2,111.60x = 2,060,525.50
  5. Step 5: Solve for x
    x = 2,060,525.50/2,111.60
  6. Step 6: Final answer
    x = 975.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.