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Finding the Fourth Proportional to 2,083.47, 3,125.70 and 1,109.37

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Solution

The fourth proportional to 2,083.47, 3,125.70 and 1,109.37 is: 1,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.47 : 3,125.70 = 1,109.37 : x
  2. Step 2: Convert to fraction form
    2,083.47/3,125.70 = 1,109.37/x
  3. Step 3: Cross multiply
    2,083.47x = 3,125.70 × 1,109.37
  4. Step 4: Simplify right side
    2,083.47x = 3,467,557.81
  5. Step 5: Solve for x
    x = 3,467,557.81/2,083.47
  6. Step 6: Final answer
    x = 1,664.32

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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.