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Finding the Fourth Proportional to 2,685.86, 3,703.66 and 2,125.44

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Solution

The fourth proportional to 2,685.86, 3,703.66 and 2,125.44 is: 2,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.86 : 3,703.66 = 2,125.44 : x
  2. Step 2: Convert to fraction form
    2,685.86/3,703.66 = 2,125.44/x
  3. Step 3: Cross multiply
    2,685.86x = 3,703.66 × 2,125.44
  4. Step 4: Simplify right side
    2,685.86x = 7,871,907.11
  5. Step 5: Solve for x
    x = 7,871,907.11/2,685.86
  6. Step 6: Final answer
    x = 2,930.87

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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.