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Finding the Fourth Proportional to 2,656.82, 3,985.14 and 708.92

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Solution

The fourth proportional to 2,656.82, 3,985.14 and 708.92 is: 1,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.82 : 3,985.14 = 708.92 : x
  2. Step 2: Convert to fraction form
    2,656.82/3,985.14 = 708.92/x
  3. Step 3: Cross multiply
    2,656.82x = 3,985.14 × 708.92
  4. Step 4: Simplify right side
    2,656.82x = 2,825,145.45
  5. Step 5: Solve for x
    x = 2,825,145.45/2,656.82
  6. Step 6: Final answer
    x = 1,063.36

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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.