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Finding the Fourth Proportional to 2,965.35, 4,092.50 and 1,706.46

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Solution

The fourth proportional to 2,965.35, 4,092.50 and 1,706.46 is: 2,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.35 : 4,092.50 = 1,706.46 : x
  2. Step 2: Convert to fraction form
    2,965.35/4,092.50 = 1,706.46/x
  3. Step 3: Cross multiply
    2,965.35x = 4,092.50 × 1,706.46
  4. Step 4: Simplify right side
    2,965.35x = 6,983,687.55
  5. Step 5: Solve for x
    x = 6,983,687.55/2,965.35
  6. Step 6: Final answer
    x = 2,355.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.