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Finding the Fourth Proportional to 2,723.64, 4,078.80 and 2,460.68

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Solution

The fourth proportional to 2,723.64, 4,078.80 and 2,460.68 is: 3,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.64 : 4,078.80 = 2,460.68 : x
  2. Step 2: Convert to fraction form
    2,723.64/4,078.80 = 2,460.68/x
  3. Step 3: Cross multiply
    2,723.64x = 4,078.80 × 2,460.68
  4. Step 4: Simplify right side
    2,723.64x = 10,036,621.58
  5. Step 5: Solve for x
    x = 10,036,621.58/2,723.64
  6. Step 6: Final answer
    x = 3,685.00

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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.