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Finding the Fourth Proportional to 1,667.37, 2,500.27 and 496.94

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Solution

The fourth proportional to 1,667.37, 2,500.27 and 496.94 is: 745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.37 : 2,500.27 = 496.94 : x
  2. Step 2: Convert to fraction form
    1,667.37/2,500.27 = 496.94/x
  3. Step 3: Cross multiply
    1,667.37x = 2,500.27 × 496.94
  4. Step 4: Simplify right side
    1,667.37x = 1,242,484.17
  5. Step 5: Solve for x
    x = 1,242,484.17/1,667.37
  6. Step 6: Final answer
    x = 745.18

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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.