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Finding the Fourth Proportional to 2,403.70, 3,318.64 and 1,962.66

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Solution

The fourth proportional to 2,403.70, 3,318.64 and 1,962.66 is: 2,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.70 : 3,318.64 = 1,962.66 : x
  2. Step 2: Convert to fraction form
    2,403.70/3,318.64 = 1,962.66/x
  3. Step 3: Cross multiply
    2,403.70x = 3,318.64 × 1,962.66
  4. Step 4: Simplify right side
    2,403.70x = 6,513,361.98
  5. Step 5: Solve for x
    x = 6,513,361.98/2,403.70
  6. Step 6: Final answer
    x = 2,709.72

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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.