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Finding the Fourth Proportional to 2,944.32, 4,416.53 and 753.07

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Solution

The fourth proportional to 2,944.32, 4,416.53 and 753.07 is: 1,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.32 : 4,416.53 = 753.07 : x
  2. Step 2: Convert to fraction form
    2,944.32/4,416.53 = 753.07/x
  3. Step 3: Cross multiply
    2,944.32x = 4,416.53 × 753.07
  4. Step 4: Simplify right side
    2,944.32x = 3,325,956.25
  5. Step 5: Solve for x
    x = 3,325,956.25/2,944.32
  6. Step 6: Final answer
    x = 1,129.62

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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.