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Finding the Fourth Proportional to 2,932.74, 4,396.68 and 1,544.00

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Solution

The fourth proportional to 2,932.74, 4,396.68 and 1,544.00 is: 2,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.74 : 4,396.68 = 1,544.00 : x
  2. Step 2: Convert to fraction form
    2,932.74/4,396.68 = 1,544.00/x
  3. Step 3: Cross multiply
    2,932.74x = 4,396.68 × 1,544.00
  4. Step 4: Simplify right side
    2,932.74x = 6,788,451.94
  5. Step 5: Solve for x
    x = 6,788,451.94/2,932.74
  6. Step 6: Final answer
    x = 2,314.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.