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Finding the Fourth Proportional to 2,543.94, 3,816.18 and 2,254.14

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Solution

The fourth proportional to 2,543.94, 3,816.18 and 2,254.14 is: 3,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.94 : 3,816.18 = 2,254.14 : x
  2. Step 2: Convert to fraction form
    2,543.94/3,816.18 = 2,254.14/x
  3. Step 3: Cross multiply
    2,543.94x = 3,816.18 × 2,254.14
  4. Step 4: Simplify right side
    2,543.94x = 8,602,203.99
  5. Step 5: Solve for x
    x = 8,602,203.99/2,543.94
  6. Step 6: Final answer
    x = 3,381.45

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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.