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Finding the Fourth Proportional to 2,471.18, 3,703.03 and 1,083.74

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Solution

The fourth proportional to 2,471.18, 3,703.03 and 1,083.74 is: 1,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.18 : 3,703.03 = 1,083.74 : x
  2. Step 2: Convert to fraction form
    2,471.18/3,703.03 = 1,083.74/x
  3. Step 3: Cross multiply
    2,471.18x = 3,703.03 × 1,083.74
  4. Step 4: Simplify right side
    2,471.18x = 4,013,100.51
  5. Step 5: Solve for x
    x = 4,013,100.51/2,471.18
  6. Step 6: Final answer
    x = 1,623.96

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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.