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Finding the Fourth Proportional to 4,287, 6,431.58 and 1,209

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Solution

The fourth proportional to 4,287, 6,431.58 and 1,209 is: 1,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287 : 6,431.58 = 1,209 : x
  2. Step 2: Convert to fraction form
    4,287/6,431.58 = 1,209/x
  3. Step 3: Cross multiply
    4,287x = 6,431.58 × 1,209
  4. Step 4: Simplify right side
    4,287x = 7,775,780.22
  5. Step 5: Solve for x
    x = 7,775,780.22/4,287
  6. Step 6: Final answer
    x = 1,813.80

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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.