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Finding the Fourth Proportional to 2,557.35, 3,806.93 and 2,543.46

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Solution

The fourth proportional to 2,557.35, 3,806.93 and 2,543.46 is: 3,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.35 : 3,806.93 = 2,543.46 : x
  2. Step 2: Convert to fraction form
    2,557.35/3,806.93 = 2,543.46/x
  3. Step 3: Cross multiply
    2,557.35x = 3,806.93 × 2,543.46
  4. Step 4: Simplify right side
    2,557.35x = 9,682,761.46
  5. Step 5: Solve for x
    x = 9,682,761.46/2,557.35
  6. Step 6: Final answer
    x = 3,786.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.