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Finding the Fourth Proportional to 2,552.02, 3,828.02 and 886.12

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Solution

The fourth proportional to 2,552.02, 3,828.02 and 886.12 is: 1,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.02 : 3,828.02 = 886.12 : x
  2. Step 2: Convert to fraction form
    2,552.02/3,828.02 = 886.12/x
  3. Step 3: Cross multiply
    2,552.02x = 3,828.02 × 886.12
  4. Step 4: Simplify right side
    2,552.02x = 3,392,085.08
  5. Step 5: Solve for x
    x = 3,392,085.08/2,552.02
  6. Step 6: Final answer
    x = 1,329.18

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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.