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Finding the Fourth Proportional to 2,634.68, 3,952.59 and 785.95

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Solution

The fourth proportional to 2,634.68, 3,952.59 and 785.95 is: 1,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.68 : 3,952.59 = 785.95 : x
  2. Step 2: Convert to fraction form
    2,634.68/3,952.59 = 785.95/x
  3. Step 3: Cross multiply
    2,634.68x = 3,952.59 × 785.95
  4. Step 4: Simplify right side
    2,634.68x = 3,106,538.11
  5. Step 5: Solve for x
    x = 3,106,538.11/2,634.68
  6. Step 6: Final answer
    x = 1,179.10

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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.