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Finding the Fourth Proportional to 3,109.29, 4,662.47 and 1,259.00

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Solution

The fourth proportional to 3,109.29, 4,662.47 and 1,259.00 is: 1,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.29 : 4,662.47 = 1,259.00 : x
  2. Step 2: Convert to fraction form
    3,109.29/4,662.47 = 1,259.00/x
  3. Step 3: Cross multiply
    3,109.29x = 4,662.47 × 1,259.00
  4. Step 4: Simplify right side
    3,109.29x = 5,870,041.22
  5. Step 5: Solve for x
    x = 5,870,041.22/3,109.29
  6. Step 6: Final answer
    x = 1,887.90

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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.