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Finding the Fourth Proportional to 3,109.60, 4,665.30 and 1,262.08

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Solution

The fourth proportional to 3,109.60, 4,665.30 and 1,262.08 is: 1,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.60 : 4,665.30 = 1,262.08 : x
  2. Step 2: Convert to fraction form
    3,109.60/4,665.30 = 1,262.08/x
  3. Step 3: Cross multiply
    3,109.60x = 4,665.30 × 1,262.08
  4. Step 4: Simplify right side
    3,109.60x = 5,887,981.82
  5. Step 5: Solve for x
    x = 5,887,981.82/3,109.60
  6. Step 6: Final answer
    x = 1,893.49

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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.