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Finding the Fourth Proportional to 3,207, 4,811.31 and 898.50

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Solution

The fourth proportional to 3,207, 4,811.31 and 898.50 is: 1,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207 : 4,811.31 = 898.50 : x
  2. Step 2: Convert to fraction form
    3,207/4,811.31 = 898.50/x
  3. Step 3: Cross multiply
    3,207x = 4,811.31 × 898.50
  4. Step 4: Simplify right side
    3,207x = 4,322,962.04
  5. Step 5: Solve for x
    x = 4,322,962.04/3,207
  6. Step 6: Final answer
    x = 1,347.98

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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.