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Finding the Fourth Proportional to 2,971.42, 4,100.18 and 1,644.93

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Solution

The fourth proportional to 2,971.42, 4,100.18 and 1,644.93 is: 2,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.42 : 4,100.18 = 1,644.93 : x
  2. Step 2: Convert to fraction form
    2,971.42/4,100.18 = 1,644.93/x
  3. Step 3: Cross multiply
    2,971.42x = 4,100.18 × 1,644.93
  4. Step 4: Simplify right side
    2,971.42x = 6,744,500.86
  5. Step 5: Solve for x
    x = 6,744,500.86/2,971.42
  6. Step 6: Final answer
    x = 2,269.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.