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Finding the Fourth Proportional to 2,409.37, 3,613.26 and 928.24

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Solution

The fourth proportional to 2,409.37, 3,613.26 and 928.24 is: 1,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.37 : 3,613.26 = 928.24 : x
  2. Step 2: Convert to fraction form
    2,409.37/3,613.26 = 928.24/x
  3. Step 3: Cross multiply
    2,409.37x = 3,613.26 × 928.24
  4. Step 4: Simplify right side
    2,409.37x = 3,353,972.46
  5. Step 5: Solve for x
    x = 3,353,972.46/2,409.37
  6. Step 6: Final answer
    x = 1,392.05

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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.