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Finding the Fourth Proportional to 2,538.56, 3,807.34 and 895.19

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Solution

The fourth proportional to 2,538.56, 3,807.34 and 895.19 is: 1,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.56 : 3,807.34 = 895.19 : x
  2. Step 2: Convert to fraction form
    2,538.56/3,807.34 = 895.19/x
  3. Step 3: Cross multiply
    2,538.56x = 3,807.34 × 895.19
  4. Step 4: Simplify right side
    2,538.56x = 3,408,271.42
  5. Step 5: Solve for x
    x = 3,408,271.42/2,538.56
  6. Step 6: Final answer
    x = 1,342.60

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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.