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Finding the Fourth Proportional to 1,912.58, 2,864.75 and 1,325.87

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Solution

The fourth proportional to 1,912.58, 2,864.75 and 1,325.87 is: 1,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.58 : 2,864.75 = 1,325.87 : x
  2. Step 2: Convert to fraction form
    1,912.58/2,864.75 = 1,325.87/x
  3. Step 3: Cross multiply
    1,912.58x = 2,864.75 × 1,325.87
  4. Step 4: Simplify right side
    1,912.58x = 3,798,265.13
  5. Step 5: Solve for x
    x = 3,798,265.13/1,912.58
  6. Step 6: Final answer
    x = 1,985.94

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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.