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Finding the Fourth Proportional to 2,634.52, 3,951.70 and 785.65

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Solution

The fourth proportional to 2,634.52, 3,951.70 and 785.65 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.52 : 3,951.70 = 785.65 : x
  2. Step 2: Convert to fraction form
    2,634.52/3,951.70 = 785.65/x
  3. Step 3: Cross multiply
    2,634.52x = 3,951.70 × 785.65
  4. Step 4: Simplify right side
    2,634.52x = 3,104,649.18
  5. Step 5: Solve for x
    x = 3,104,649.18/2,634.52
  6. Step 6: Final answer
    x = 1,178.45

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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.