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Finding the Fourth Proportional to 3,207, 4,425.70 and 1,809.76

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Solution

The fourth proportional to 3,207, 4,425.70 and 1,809.76 is: 2,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207 : 4,425.70 = 1,809.76 : x
  2. Step 2: Convert to fraction form
    3,207/4,425.70 = 1,809.76/x
  3. Step 3: Cross multiply
    3,207x = 4,425.70 × 1,809.76
  4. Step 4: Simplify right side
    3,207x = 8,009,454.83
  5. Step 5: Solve for x
    x = 8,009,454.83/3,207
  6. Step 6: Final answer
    x = 2,497.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.