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Finding the Fourth Proportional to 2,083.96, 2,875.94 and 1,139.81

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Solution

The fourth proportional to 2,083.96, 2,875.94 and 1,139.81 is: 1,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.96 : 2,875.94 = 1,139.81 : x
  2. Step 2: Convert to fraction form
    2,083.96/2,875.94 = 1,139.81/x
  3. Step 3: Cross multiply
    2,083.96x = 2,875.94 × 1,139.81
  4. Step 4: Simplify right side
    2,083.96x = 3,278,026.66
  5. Step 5: Solve for x
    x = 3,278,026.66/2,083.96
  6. Step 6: Final answer
    x = 1,572.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.