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Finding the Fourth Proportional to 2,551.40, 3,827.05 and 1,453.42

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Solution

The fourth proportional to 2,551.40, 3,827.05 and 1,453.42 is: 2,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.40 : 3,827.05 = 1,453.42 : x
  2. Step 2: Convert to fraction form
    2,551.40/3,827.05 = 1,453.42/x
  3. Step 3: Cross multiply
    2,551.40x = 3,827.05 × 1,453.42
  4. Step 4: Simplify right side
    2,551.40x = 5,562,297.81
  5. Step 5: Solve for x
    x = 5,562,297.81/2,551.40
  6. Step 6: Final answer
    x = 2,180.10

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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.