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Finding the Fourth Proportional to 2,416.94, 3,624.39 and 750.86

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Solution

The fourth proportional to 2,416.94, 3,624.39 and 750.86 is: 1,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.94 : 3,624.39 = 750.86 : x
  2. Step 2: Convert to fraction form
    2,416.94/3,624.39 = 750.86/x
  3. Step 3: Cross multiply
    2,416.94x = 3,624.39 × 750.86
  4. Step 4: Simplify right side
    2,416.94x = 2,721,409.48
  5. Step 5: Solve for x
    x = 2,721,409.48/2,416.94
  6. Step 6: Final answer
    x = 1,125.97

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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.