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Finding the Fourth Proportional to 4,267.69, 6,402.44 and 1,670.63

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Solution

The fourth proportional to 4,267.69, 6,402.44 and 1,670.63 is: 2,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.69 : 6,402.44 = 1,670.63 : x
  2. Step 2: Convert to fraction form
    4,267.69/6,402.44 = 1,670.63/x
  3. Step 3: Cross multiply
    4,267.69x = 6,402.44 × 1,670.63
  4. Step 4: Simplify right side
    4,267.69x = 10,696,080.50
  5. Step 5: Solve for x
    x = 10,696,080.50/4,267.69
  6. Step 6: Final answer
    x = 2,506.29

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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.