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Finding the Fourth Proportional to 2,618.47, 3,925.05 and 1,232.56

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Solution

The fourth proportional to 2,618.47, 3,925.05 and 1,232.56 is: 1,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.47 : 3,925.05 = 1,232.56 : x
  2. Step 2: Convert to fraction form
    2,618.47/3,925.05 = 1,232.56/x
  3. Step 3: Cross multiply
    2,618.47x = 3,925.05 × 1,232.56
  4. Step 4: Simplify right side
    2,618.47x = 4,837,859.63
  5. Step 5: Solve for x
    x = 4,837,859.63/2,618.47
  6. Step 6: Final answer
    x = 1,847.59

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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.