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Finding the Fourth Proportional to 3,102.04, 4,654.86 and 1,370.68

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Solution

The fourth proportional to 3,102.04, 4,654.86 and 1,370.68 is: 2,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.04 : 4,654.86 = 1,370.68 : x
  2. Step 2: Convert to fraction form
    3,102.04/4,654.86 = 1,370.68/x
  3. Step 3: Cross multiply
    3,102.04x = 4,654.86 × 1,370.68
  4. Step 4: Simplify right side
    3,102.04x = 6,380,323.50
  5. Step 5: Solve for x
    x = 6,380,323.50/3,102.04
  6. Step 6: Final answer
    x = 2,056.82

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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.