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Finding the Fourth Proportional to 2,495.33, 3,742.68 and 852.04

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Solution

The fourth proportional to 2,495.33, 3,742.68 and 852.04 is: 1,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.33 : 3,742.68 = 852.04 : x
  2. Step 2: Convert to fraction form
    2,495.33/3,742.68 = 852.04/x
  3. Step 3: Cross multiply
    2,495.33x = 3,742.68 × 852.04
  4. Step 4: Simplify right side
    2,495.33x = 3,188,894.35
  5. Step 5: Solve for x
    x = 3,188,894.35/2,495.33
  6. Step 6: Final answer
    x = 1,277.95

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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.