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Finding the Fourth Proportional to 2,102.65, 3,153.97 and 786.35

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Solution

The fourth proportional to 2,102.65, 3,153.97 and 786.35 is: 1,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.65 : 3,153.97 = 786.35 : x
  2. Step 2: Convert to fraction form
    2,102.65/3,153.97 = 786.35/x
  3. Step 3: Cross multiply
    2,102.65x = 3,153.97 × 786.35
  4. Step 4: Simplify right side
    2,102.65x = 2,480,124.31
  5. Step 5: Solve for x
    x = 2,480,124.31/2,102.65
  6. Step 6: Final answer
    x = 1,179.52

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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.