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Finding the Fourth Proportional to 3,282.04, 4,922.70 and 973

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Solution

The fourth proportional to 3,282.04, 4,922.70 and 973 is: 1,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.04 : 4,922.70 = 973 : x
  2. Step 2: Convert to fraction form
    3,282.04/4,922.70 = 973/x
  3. Step 3: Cross multiply
    3,282.04x = 4,922.70 × 973
  4. Step 4: Simplify right side
    3,282.04x = 4,789,787.10
  5. Step 5: Solve for x
    x = 4,789,787.10/3,282.04
  6. Step 6: Final answer
    x = 1,459.39

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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.