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Finding the Fourth Proportional to 2,352.33, 3,529.64 and 966.08

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Solution

The fourth proportional to 2,352.33, 3,529.64 and 966.08 is: 1,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.33 : 3,529.64 = 966.08 : x
  2. Step 2: Convert to fraction form
    2,352.33/3,529.64 = 966.08/x
  3. Step 3: Cross multiply
    2,352.33x = 3,529.64 × 966.08
  4. Step 4: Simplify right side
    2,352.33x = 3,409,925.85
  5. Step 5: Solve for x
    x = 3,409,925.85/2,352.33
  6. Step 6: Final answer
    x = 1,449.60

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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.