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Finding the Fourth Proportional to 3,292.95, 4,940.65 and 1,710.68

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Solution

The fourth proportional to 3,292.95, 4,940.65 and 1,710.68 is: 2,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.95 : 4,940.65 = 1,710.68 : x
  2. Step 2: Convert to fraction form
    3,292.95/4,940.65 = 1,710.68/x
  3. Step 3: Cross multiply
    3,292.95x = 4,940.65 × 1,710.68
  4. Step 4: Simplify right side
    3,292.95x = 8,451,871.14
  5. Step 5: Solve for x
    x = 8,451,871.14/3,292.95
  6. Step 6: Final answer
    x = 2,566.66

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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.