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Finding the Fourth Proportional to 3,306.95, 4,960.56 and 1,457.64

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Solution

The fourth proportional to 3,306.95, 4,960.56 and 1,457.64 is: 2,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.95 : 4,960.56 = 1,457.64 : x
  2. Step 2: Convert to fraction form
    3,306.95/4,960.56 = 1,457.64/x
  3. Step 3: Cross multiply
    3,306.95x = 4,960.56 × 1,457.64
  4. Step 4: Simplify right side
    3,306.95x = 7,230,716.14
  5. Step 5: Solve for x
    x = 7,230,716.14/3,306.95
  6. Step 6: Final answer
    x = 2,186.52

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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.