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Finding the Fourth Proportional to 2,656.12, 3,982 and 2,308.64

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Solution

The fourth proportional to 2,656.12, 3,982 and 2,308.64 is: 3,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.12 : 3,982 = 2,308.64 : x
  2. Step 2: Convert to fraction form
    2,656.12/3,982 = 2,308.64/x
  3. Step 3: Cross multiply
    2,656.12x = 3,982 × 2,308.64
  4. Step 4: Simplify right side
    2,656.12x = 9,193,004.48
  5. Step 5: Solve for x
    x = 9,193,004.48/2,656.12
  6. Step 6: Final answer
    x = 3,461.07

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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.