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Finding the Fourth Proportional to 1,667.46, 2,501.31 and 497.37

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Solution

The fourth proportional to 1,667.46, 2,501.31 and 497.37 is: 746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.46 : 2,501.31 = 497.37 : x
  2. Step 2: Convert to fraction form
    1,667.46/2,501.31 = 497.37/x
  3. Step 3: Cross multiply
    1,667.46x = 2,501.31 × 497.37
  4. Step 4: Simplify right side
    1,667.46x = 1,244,071.54
  5. Step 5: Solve for x
    x = 1,244,071.54/1,667.46
  6. Step 6: Final answer
    x = 746.09

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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.