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Finding the Fourth Proportional to 2,718.02, 4,077 and 869.27

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Solution

The fourth proportional to 2,718.02, 4,077 and 869.27 is: 1,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.02 : 4,077 = 869.27 : x
  2. Step 2: Convert to fraction form
    2,718.02/4,077 = 869.27/x
  3. Step 3: Cross multiply
    2,718.02x = 4,077 × 869.27
  4. Step 4: Simplify right side
    2,718.02x = 3,543,993.41
  5. Step 5: Solve for x
    x = 3,543,993.41/2,718.02
  6. Step 6: Final answer
    x = 1,303.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.