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Finding the Fourth Proportional to 2,932.34, 4,396.01 and 1,287.63

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Solution

The fourth proportional to 2,932.34, 4,396.01 and 1,287.63 is: 1,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.34 : 4,396.01 = 1,287.63 : x
  2. Step 2: Convert to fraction form
    2,932.34/4,396.01 = 1,287.63/x
  3. Step 3: Cross multiply
    2,932.34x = 4,396.01 × 1,287.63
  4. Step 4: Simplify right side
    2,932.34x = 5,660,427.92
  5. Step 5: Solve for x
    x = 5,660,427.92/2,932.34
  6. Step 6: Final answer
    x = 1,930.35

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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.