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Finding the Fourth Proportional to 4,630.55, 6,945.11 and 1,342.96

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Solution

The fourth proportional to 4,630.55, 6,945.11 and 1,342.96 is: 2,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.55 : 6,945.11 = 1,342.96 : x
  2. Step 2: Convert to fraction form
    4,630.55/6,945.11 = 1,342.96/x
  3. Step 3: Cross multiply
    4,630.55x = 6,945.11 × 1,342.96
  4. Step 4: Simplify right side
    4,630.55x = 9,326,985.88
  5. Step 5: Solve for x
    x = 9,326,985.88/4,630.55
  6. Step 6: Final answer
    x = 2,014.23

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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.