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Finding the Fourth Proportional to 2,543.94, 3,812.44 and 1,557.09

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Solution

The fourth proportional to 2,543.94, 3,812.44 and 1,557.09 is: 2,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.94 : 3,812.44 = 1,557.09 : x
  2. Step 2: Convert to fraction form
    2,543.94/3,812.44 = 1,557.09/x
  3. Step 3: Cross multiply
    2,543.94x = 3,812.44 × 1,557.09
  4. Step 4: Simplify right side
    2,543.94x = 5,936,312.20
  5. Step 5: Solve for x
    x = 5,936,312.20/2,543.94
  6. Step 6: Final answer
    x = 2,333.51

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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.