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Finding the Fourth Proportional to 2,551.42, 3,827.13 and 1,685.53

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Solution

The fourth proportional to 2,551.42, 3,827.13 and 1,685.53 is: 2,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.42 : 3,827.13 = 1,685.53 : x
  2. Step 2: Convert to fraction form
    2,551.42/3,827.13 = 1,685.53/x
  3. Step 3: Cross multiply
    2,551.42x = 3,827.13 × 1,685.53
  4. Step 4: Simplify right side
    2,551.42x = 6,450,742.43
  5. Step 5: Solve for x
    x = 6,450,742.43/2,551.42
  6. Step 6: Final answer
    x = 2,528.30

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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.