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Finding the Fourth Proportional to 2,718.63, 4,077.12 and 869.67

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Solution

The fourth proportional to 2,718.63, 4,077.12 and 869.67 is: 1,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.63 : 4,077.12 = 869.67 : x
  2. Step 2: Convert to fraction form
    2,718.63/4,077.12 = 869.67/x
  3. Step 3: Cross multiply
    2,718.63x = 4,077.12 × 869.67
  4. Step 4: Simplify right side
    2,718.63x = 3,545,748.95
  5. Step 5: Solve for x
    x = 3,545,748.95/2,718.63
  6. Step 6: Final answer
    x = 1,304.24

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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.