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Finding the Fourth Proportional to 2,551.10, 3,827.88 and 908.42

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Solution

The fourth proportional to 2,551.10, 3,827.88 and 908.42 is: 1,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.10 : 3,827.88 = 908.42 : x
  2. Step 2: Convert to fraction form
    2,551.10/3,827.88 = 908.42/x
  3. Step 3: Cross multiply
    2,551.10x = 3,827.88 × 908.42
  4. Step 4: Simplify right side
    2,551.10x = 3,477,303.61
  5. Step 5: Solve for x
    x = 3,477,303.61/2,551.10
  6. Step 6: Final answer
    x = 1,363.06

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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.