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Finding the Fourth Proportional to 2,850.68, 4,270.10 and 1,459.81

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Solution

The fourth proportional to 2,850.68, 4,270.10 and 1,459.81 is: 2,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.68 : 4,270.10 = 1,459.81 : x
  2. Step 2: Convert to fraction form
    2,850.68/4,270.10 = 1,459.81/x
  3. Step 3: Cross multiply
    2,850.68x = 4,270.10 × 1,459.81
  4. Step 4: Simplify right side
    2,850.68x = 6,233,534.68
  5. Step 5: Solve for x
    x = 6,233,534.68/2,850.68
  6. Step 6: Final answer
    x = 2,186.68

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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.