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Finding the Fourth Proportional to 1,667.40, 2,501.37 and 513.15

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Solution

The fourth proportional to 1,667.40, 2,501.37 and 513.15 is: 769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.40 : 2,501.37 = 513.15 : x
  2. Step 2: Convert to fraction form
    1,667.40/2,501.37 = 513.15/x
  3. Step 3: Cross multiply
    1,667.40x = 2,501.37 × 513.15
  4. Step 4: Simplify right side
    1,667.40x = 1,283,578.02
  5. Step 5: Solve for x
    x = 1,283,578.02/1,667.40
  6. Step 6: Final answer
    x = 769.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.