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Finding the Fourth Proportional to 3,102.60, 4,655.04 and 1,542.56

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Solution

The fourth proportional to 3,102.60, 4,655.04 and 1,542.56 is: 2,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.60 : 4,655.04 = 1,542.56 : x
  2. Step 2: Convert to fraction form
    3,102.60/4,655.04 = 1,542.56/x
  3. Step 3: Cross multiply
    3,102.60x = 4,655.04 × 1,542.56
  4. Step 4: Simplify right side
    3,102.60x = 7,180,678.50
  5. Step 5: Solve for x
    x = 7,180,678.50/3,102.60
  6. Step 6: Final answer
    x = 2,314.41

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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.