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Finding the Fourth Proportional to 3,186.68, 4,780.51 and 1,625.84

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Solution

The fourth proportional to 3,186.68, 4,780.51 and 1,625.84 is: 2,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.68 : 4,780.51 = 1,625.84 : x
  2. Step 2: Convert to fraction form
    3,186.68/4,780.51 = 1,625.84/x
  3. Step 3: Cross multiply
    3,186.68x = 4,780.51 × 1,625.84
  4. Step 4: Simplify right side
    3,186.68x = 7,772,329.74
  5. Step 5: Solve for x
    x = 7,772,329.74/3,186.68
  6. Step 6: Final answer
    x = 2,439.00

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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.