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Finding the Fourth Proportional to 1,667.90, 2,502.26 and 497.90

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Solution

The fourth proportional to 1,667.90, 2,502.26 and 497.90 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.90 : 2,502.26 = 497.90 : x
  2. Step 2: Convert to fraction form
    1,667.90/2,502.26 = 497.90/x
  3. Step 3: Cross multiply
    1,667.90x = 2,502.26 × 497.90
  4. Step 4: Simplify right side
    1,667.90x = 1,245,875.25
  5. Step 5: Solve for x
    x = 1,245,875.25/1,667.90
  6. Step 6: Final answer
    x = 746.97

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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.