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Finding the Fourth Proportional to 2,105.60, 3,157.57 and 624.40

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Solution

The fourth proportional to 2,105.60, 3,157.57 and 624.40 is: 936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.60 : 3,157.57 = 624.40 : x
  2. Step 2: Convert to fraction form
    2,105.60/3,157.57 = 624.40/x
  3. Step 3: Cross multiply
    2,105.60x = 3,157.57 × 624.40
  4. Step 4: Simplify right side
    2,105.60x = 1,971,586.71
  5. Step 5: Solve for x
    x = 1,971,586.71/2,105.60
  6. Step 6: Final answer
    x = 936.35

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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.