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Finding the Fourth Proportional to 3,240.40, 4,860.48 and 931.84

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Solution

The fourth proportional to 3,240.40, 4,860.48 and 931.84 is: 1,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.40 : 4,860.48 = 931.84 : x
  2. Step 2: Convert to fraction form
    3,240.40/4,860.48 = 931.84/x
  3. Step 3: Cross multiply
    3,240.40x = 4,860.48 × 931.84
  4. Step 4: Simplify right side
    3,240.40x = 4,529,189.68
  5. Step 5: Solve for x
    x = 4,529,189.68/3,240.40
  6. Step 6: Final answer
    x = 1,397.73

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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.