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Finding the Fourth Proportional to 2,458.68, 3,682.08 and 1,482.36

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Solution

The fourth proportional to 2,458.68, 3,682.08 and 1,482.36 is: 2,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.68 : 3,682.08 = 1,482.36 : x
  2. Step 2: Convert to fraction form
    2,458.68/3,682.08 = 1,482.36/x
  3. Step 3: Cross multiply
    2,458.68x = 3,682.08 × 1,482.36
  4. Step 4: Simplify right side
    2,458.68x = 5,458,168.11
  5. Step 5: Solve for x
    x = 5,458,168.11/2,458.68
  6. Step 6: Final answer
    x = 2,219.96

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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.