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Finding the Fourth Proportional to 2,487.42, 3,426.84 and 2,047.86

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Solution

The fourth proportional to 2,487.42, 3,426.84 and 2,047.86 is: 2,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.42 : 3,426.84 = 2,047.86 : x
  2. Step 2: Convert to fraction form
    2,487.42/3,426.84 = 2,047.86/x
  3. Step 3: Cross multiply
    2,487.42x = 3,426.84 × 2,047.86
  4. Step 4: Simplify right side
    2,487.42x = 7,017,688.56
  5. Step 5: Solve for x
    x = 7,017,688.56/2,487.42
  6. Step 6: Final answer
    x = 2,821.27

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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.