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Finding the Fourth Proportional to 2,718.21, 4,077.33 and 869.34

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Solution

The fourth proportional to 2,718.21, 4,077.33 and 869.34 is: 1,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.21 : 4,077.33 = 869.34 : x
  2. Step 2: Convert to fraction form
    2,718.21/4,077.33 = 869.34/x
  3. Step 3: Cross multiply
    2,718.21x = 4,077.33 × 869.34
  4. Step 4: Simplify right side
    2,718.21x = 3,544,586.06
  5. Step 5: Solve for x
    x = 3,544,586.06/2,718.21
  6. Step 6: Final answer
    x = 1,304.01

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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.