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Finding the Fourth Proportional to 2,352.80, 3,530.64 and 966.80

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Solution

The fourth proportional to 2,352.80, 3,530.64 and 966.80 is: 1,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.80 : 3,530.64 = 966.80 : x
  2. Step 2: Convert to fraction form
    2,352.80/3,530.64 = 966.80/x
  3. Step 3: Cross multiply
    2,352.80x = 3,530.64 × 966.80
  4. Step 4: Simplify right side
    2,352.80x = 3,413,422.75
  5. Step 5: Solve for x
    x = 3,413,422.75/2,352.80
  6. Step 6: Final answer
    x = 1,450.79

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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.