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Finding the Fourth Proportional to 2,504.94, 3,758.58 and 1,118.13

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Solution

The fourth proportional to 2,504.94, 3,758.58 and 1,118.13 is: 1,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.94 : 3,758.58 = 1,118.13 : x
  2. Step 2: Convert to fraction form
    2,504.94/3,758.58 = 1,118.13/x
  3. Step 3: Cross multiply
    2,504.94x = 3,758.58 × 1,118.13
  4. Step 4: Simplify right side
    2,504.94x = 4,202,581.06
  5. Step 5: Solve for x
    x = 4,202,581.06/2,504.94
  6. Step 6: Final answer
    x = 1,677.72

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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.