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Finding the Fourth Proportional to 3,102.98, 4,652.78 and 1,539.54

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Solution

The fourth proportional to 3,102.98, 4,652.78 and 1,539.54 is: 2,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.98 : 4,652.78 = 1,539.54 : x
  2. Step 2: Convert to fraction form
    3,102.98/4,652.78 = 1,539.54/x
  3. Step 3: Cross multiply
    3,102.98x = 4,652.78 × 1,539.54
  4. Step 4: Simplify right side
    3,102.98x = 7,163,133.22
  5. Step 5: Solve for x
    x = 7,163,133.22/3,102.98
  6. Step 6: Final answer
    x = 2,308.47

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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.