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Finding the Fourth Proportional to 1,768.50, 2,442.17 and 1,325.64

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Solution

The fourth proportional to 1,768.50, 2,442.17 and 1,325.64 is: 1,830.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.50 : 2,442.17 = 1,325.64 : x
  2. Step 2: Convert to fraction form
    1,768.50/2,442.17 = 1,325.64/x
  3. Step 3: Cross multiply
    1,768.50x = 2,442.17 × 1,325.64
  4. Step 4: Simplify right side
    1,768.50x = 3,237,438.24
  5. Step 5: Solve for x
    x = 3,237,438.24/1,768.50
  6. Step 6: Final answer
    x = 1,830.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.