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Finding the Fourth Proportional to 3,109.36, 4,665.08 and 1,259.47

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Solution

The fourth proportional to 3,109.36, 4,665.08 and 1,259.47 is: 1,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.36 : 4,665.08 = 1,259.47 : x
  2. Step 2: Convert to fraction form
    3,109.36/4,665.08 = 1,259.47/x
  3. Step 3: Cross multiply
    3,109.36x = 4,665.08 × 1,259.47
  4. Step 4: Simplify right side
    3,109.36x = 5,875,528.31
  5. Step 5: Solve for x
    x = 5,875,528.31/3,109.36
  6. Step 6: Final answer
    x = 1,889.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.