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Finding the Fourth Proportional to 1,667.86, 2,503.20 and 1,120.70

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Solution

The fourth proportional to 1,667.86, 2,503.20 and 1,120.70 is: 1,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.86 : 2,503.20 = 1,120.70 : x
  2. Step 2: Convert to fraction form
    1,667.86/2,503.20 = 1,120.70/x
  3. Step 3: Cross multiply
    1,667.86x = 2,503.20 × 1,120.70
  4. Step 4: Simplify right side
    1,667.86x = 2,805,346.70
  5. Step 5: Solve for x
    x = 2,805,346.70/1,667.86
  6. Step 6: Final answer
    x = 1,682.01

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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.