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Finding the Fourth Proportional to 1,667.61, 2,299.68 and 1,503.54

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Solution

The fourth proportional to 1,667.61, 2,299.68 and 1,503.54 is: 2,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.61 : 2,299.68 = 1,503.54 : x
  2. Step 2: Convert to fraction form
    1,667.61/2,299.68 = 1,503.54/x
  3. Step 3: Cross multiply
    1,667.61x = 2,299.68 × 1,503.54
  4. Step 4: Simplify right side
    1,667.61x = 3,457,660.87
  5. Step 5: Solve for x
    x = 3,457,660.87/1,667.61
  6. Step 6: Final answer
    x = 2,073.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.