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Finding the Fourth Proportional to 2,071.89, 2,859.03 and 1,324.53

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Solution

The fourth proportional to 2,071.89, 2,859.03 and 1,324.53 is: 1,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.89 : 2,859.03 = 1,324.53 : x
  2. Step 2: Convert to fraction form
    2,071.89/2,859.03 = 1,324.53/x
  3. Step 3: Cross multiply
    2,071.89x = 2,859.03 × 1,324.53
  4. Step 4: Simplify right side
    2,071.89x = 3,786,871.01
  5. Step 5: Solve for x
    x = 3,786,871.01/2,071.89
  6. Step 6: Final answer
    x = 1,827.74

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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.