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Finding the Fourth Proportional to 1,684.69, 2,527.90 and 945.14

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Solution

The fourth proportional to 1,684.69, 2,527.90 and 945.14 is: 1,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.69 : 2,527.90 = 945.14 : x
  2. Step 2: Convert to fraction form
    1,684.69/2,527.90 = 945.14/x
  3. Step 3: Cross multiply
    1,684.69x = 2,527.90 × 945.14
  4. Step 4: Simplify right side
    1,684.69x = 2,389,214.39
  5. Step 5: Solve for x
    x = 2,389,214.39/1,684.69
  6. Step 6: Final answer
    x = 1,418.19

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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.