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Finding the Fourth Proportional to 1,806.97, 2,494.04 and 1,176.40

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Solution

The fourth proportional to 1,806.97, 2,494.04 and 1,176.40 is: 1,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.97 : 2,494.04 = 1,176.40 : x
  2. Step 2: Convert to fraction form
    1,806.97/2,494.04 = 1,176.40/x
  3. Step 3: Cross multiply
    1,806.97x = 2,494.04 × 1,176.40
  4. Step 4: Simplify right side
    1,806.97x = 2,933,994.16
  5. Step 5: Solve for x
    x = 2,933,994.16/1,806.97
  6. Step 6: Final answer
    x = 1,623.71

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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.