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Finding the Fourth Proportional to 4,602, 6,904.04 and 1,680.30

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Solution

The fourth proportional to 4,602, 6,904.04 and 1,680.30 is: 2,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602 : 6,904.04 = 1,680.30 : x
  2. Step 2: Convert to fraction form
    4,602/6,904.04 = 1,680.30/x
  3. Step 3: Cross multiply
    4,602x = 6,904.04 × 1,680.30
  4. Step 4: Simplify right side
    4,602x = 11,600,858.41
  5. Step 5: Solve for x
    x = 11,600,858.41/4,602
  6. Step 6: Final answer
    x = 2,520.83

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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.