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Finding the Fourth Proportional to 2,695.82, 3,695.96 and 2,646.61

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Solution

The fourth proportional to 2,695.82, 3,695.96 and 2,646.61 is: 3,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.82 : 3,695.96 = 2,646.61 : x
  2. Step 2: Convert to fraction form
    2,695.82/3,695.96 = 2,646.61/x
  3. Step 3: Cross multiply
    2,695.82x = 3,695.96 × 2,646.61
  4. Step 4: Simplify right side
    2,695.82x = 9,781,762.07
  5. Step 5: Solve for x
    x = 9,781,762.07/2,695.82
  6. Step 6: Final answer
    x = 3,628.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.