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Finding the Fourth Proportional to 3,102.56, 4,653.72 and 1,050.56

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Solution

The fourth proportional to 3,102.56, 4,653.72 and 1,050.56 is: 1,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.56 : 4,653.72 = 1,050.56 : x
  2. Step 2: Convert to fraction form
    3,102.56/4,653.72 = 1,050.56/x
  3. Step 3: Cross multiply
    3,102.56x = 4,653.72 × 1,050.56
  4. Step 4: Simplify right side
    3,102.56x = 4,889,012.08
  5. Step 5: Solve for x
    x = 4,889,012.08/3,102.56
  6. Step 6: Final answer
    x = 1,575.80

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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.