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Finding the Fourth Proportional to 3,282.90, 4,922.65 and 974.10

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Solution

The fourth proportional to 3,282.90, 4,922.65 and 974.10 is: 1,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.90 : 4,922.65 = 974.10 : x
  2. Step 2: Convert to fraction form
    3,282.90/4,922.65 = 974.10/x
  3. Step 3: Cross multiply
    3,282.90x = 4,922.65 × 974.10
  4. Step 4: Simplify right side
    3,282.90x = 4,795,153.37
  5. Step 5: Solve for x
    x = 4,795,153.37/3,282.90
  6. Step 6: Final answer
    x = 1,460.65

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1.5x scale

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.