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Finding the Fourth Proportional to 4,455.39, 6,684.02 and 1,682.00

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Solution

The fourth proportional to 4,455.39, 6,684.02 and 1,682.00 is: 2,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.39 : 6,684.02 = 1,682.00 : x
  2. Step 2: Convert to fraction form
    4,455.39/6,684.02 = 1,682.00/x
  3. Step 3: Cross multiply
    4,455.39x = 6,684.02 × 1,682.00
  4. Step 4: Simplify right side
    4,455.39x = 11,242,497.08
  5. Step 5: Solve for x
    x = 11,242,497.08/4,455.39
  6. Step 6: Final answer
    x = 2,523.35

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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.