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Finding the Fourth Proportional to 2,783.84, 4,175.44 and 836.04

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Solution

The fourth proportional to 2,783.84, 4,175.44 and 836.04 is: 1,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.84 : 4,175.44 = 836.04 : x
  2. Step 2: Convert to fraction form
    2,783.84/4,175.44 = 836.04/x
  3. Step 3: Cross multiply
    2,783.84x = 4,175.44 × 836.04
  4. Step 4: Simplify right side
    2,783.84x = 3,490,834.86
  5. Step 5: Solve for x
    x = 3,490,834.86/2,783.84
  6. Step 6: Final answer
    x = 1,253.96

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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.