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Finding the Fourth Proportional to 1,666.82, 2,299.02 and 1,273.16

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Solution

The fourth proportional to 1,666.82, 2,299.02 and 1,273.16 is: 1,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.82 : 2,299.02 = 1,273.16 : x
  2. Step 2: Convert to fraction form
    1,666.82/2,299.02 = 1,273.16/x
  3. Step 3: Cross multiply
    1,666.82x = 2,299.02 × 1,273.16
  4. Step 4: Simplify right side
    1,666.82x = 2,927,020.30
  5. Step 5: Solve for x
    x = 2,927,020.30/1,666.82
  6. Step 6: Final answer
    x = 1,756.05

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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.