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Finding the Fourth Proportional to 1,667.48, 2,499.04 and 1,206.80

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Solution

The fourth proportional to 1,667.48, 2,499.04 and 1,206.80 is: 1,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.48 : 2,499.04 = 1,206.80 : x
  2. Step 2: Convert to fraction form
    1,667.48/2,499.04 = 1,206.80/x
  3. Step 3: Cross multiply
    1,667.48x = 2,499.04 × 1,206.80
  4. Step 4: Simplify right side
    1,667.48x = 3,015,841.47
  5. Step 5: Solve for x
    x = 3,015,841.47/1,667.48
  6. Step 6: Final answer
    x = 1,808.62

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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.