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Finding the Fourth Proportional to 3,097.70, 4,646.50 and 1,453.08

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Solution

The fourth proportional to 3,097.70, 4,646.50 and 1,453.08 is: 2,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.70 : 4,646.50 = 1,453.08 : x
  2. Step 2: Convert to fraction form
    3,097.70/4,646.50 = 1,453.08/x
  3. Step 3: Cross multiply
    3,097.70x = 4,646.50 × 1,453.08
  4. Step 4: Simplify right side
    3,097.70x = 6,751,712.99
  5. Step 5: Solve for x
    x = 6,751,712.99/3,097.70
  6. Step 6: Final answer
    x = 2,179.59

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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.