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Finding the Fourth Proportional to 4,184.84, 6,278.63 and 1,720.82

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Solution

The fourth proportional to 4,184.84, 6,278.63 and 1,720.82 is: 2,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.84 : 6,278.63 = 1,720.82 : x
  2. Step 2: Convert to fraction form
    4,184.84/6,278.63 = 1,720.82/x
  3. Step 3: Cross multiply
    4,184.84x = 6,278.63 × 1,720.82
  4. Step 4: Simplify right side
    4,184.84x = 10,804,392.08
  5. Step 5: Solve for x
    x = 10,804,392.08/4,184.84
  6. Step 6: Final answer
    x = 2,581.79

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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.