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Finding the Fourth Proportional to 3,273, 4,909.98 and 1,955.96

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Solution

The fourth proportional to 3,273, 4,909.98 and 1,955.96 is: 2,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273 : 4,909.98 = 1,955.96 : x
  2. Step 2: Convert to fraction form
    3,273/4,909.98 = 1,955.96/x
  3. Step 3: Cross multiply
    3,273x = 4,909.98 × 1,955.96
  4. Step 4: Simplify right side
    3,273x = 9,603,724.48
  5. Step 5: Solve for x
    x = 9,603,724.48/3,273
  6. Step 6: Final answer
    x = 2,934.23

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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.