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Finding the Fourth Proportional to 2,539.35, 3,809.43 and 895.86

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Solution

The fourth proportional to 2,539.35, 3,809.43 and 895.86 is: 1,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.35 : 3,809.43 = 895.86 : x
  2. Step 2: Convert to fraction form
    2,539.35/3,809.43 = 895.86/x
  3. Step 3: Cross multiply
    2,539.35x = 3,809.43 × 895.86
  4. Step 4: Simplify right side
    2,539.35x = 3,412,715.96
  5. Step 5: Solve for x
    x = 3,412,715.96/2,539.35
  6. Step 6: Final answer
    x = 1,343.93

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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.