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Finding the Fourth Proportional to 1,606.05, 2,402.73 and 1,278

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Solution

The fourth proportional to 1,606.05, 2,402.73 and 1,278 is: 1,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.05 : 2,402.73 = 1,278 : x
  2. Step 2: Convert to fraction form
    1,606.05/2,402.73 = 1,278/x
  3. Step 3: Cross multiply
    1,606.05x = 2,402.73 × 1,278
  4. Step 4: Simplify right side
    1,606.05x = 3,070,688.94
  5. Step 5: Solve for x
    x = 3,070,688.94/1,606.05
  6. Step 6: Final answer
    x = 1,911.95

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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.