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Finding the Fourth Proportional to 1,667.45, 2,501.49 and 571.79

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Solution

The fourth proportional to 1,667.45, 2,501.49 and 571.79 is: 857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.45 : 2,501.49 = 571.79 : x
  2. Step 2: Convert to fraction form
    1,667.45/2,501.49 = 571.79/x
  3. Step 3: Cross multiply
    1,667.45x = 2,501.49 × 571.79
  4. Step 4: Simplify right side
    1,667.45x = 1,430,326.97
  5. Step 5: Solve for x
    x = 1,430,326.97/1,667.45
  6. Step 6: Final answer
    x = 857.79

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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.