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Finding the Fourth Proportional to 2,666.46, 3,999.65 and 1,204.59

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Solution

The fourth proportional to 2,666.46, 3,999.65 and 1,204.59 is: 1,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.46 : 3,999.65 = 1,204.59 : x
  2. Step 2: Convert to fraction form
    2,666.46/3,999.65 = 1,204.59/x
  3. Step 3: Cross multiply
    2,666.46x = 3,999.65 × 1,204.59
  4. Step 4: Simplify right side
    2,666.46x = 4,817,941.40
  5. Step 5: Solve for x
    x = 4,817,941.40/2,666.46
  6. Step 6: Final answer
    x = 1,806.87

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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.