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Finding the Fourth Proportional to 2,952.56, 4,429.76 and 1,855.41

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Solution

The fourth proportional to 2,952.56, 4,429.76 and 1,855.41 is: 2,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.56 : 4,429.76 = 1,855.41 : x
  2. Step 2: Convert to fraction form
    2,952.56/4,429.76 = 1,855.41/x
  3. Step 3: Cross multiply
    2,952.56x = 4,429.76 × 1,855.41
  4. Step 4: Simplify right side
    2,952.56x = 8,219,021.00
  5. Step 5: Solve for x
    x = 8,219,021.00/2,952.56
  6. Step 6: Final answer
    x = 2,783.69

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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.