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Finding the Fourth Proportional to 2,656.42, 3,984.32 and 708.77

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Solution

The fourth proportional to 2,656.42, 3,984.32 and 708.77 is: 1,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.42 : 3,984.32 = 708.77 : x
  2. Step 2: Convert to fraction form
    2,656.42/3,984.32 = 708.77/x
  3. Step 3: Cross multiply
    2,656.42x = 3,984.32 × 708.77
  4. Step 4: Simplify right side
    2,656.42x = 2,823,978.22
  5. Step 5: Solve for x
    x = 2,823,978.22/2,656.42
  6. Step 6: Final answer
    x = 1,063.08

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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.