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Finding the Fourth Proportional to 2,697.79, 4,043.94 and 2,047.16

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Solution

The fourth proportional to 2,697.79, 4,043.94 and 2,047.16 is: 3,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.79 : 4,043.94 = 2,047.16 : x
  2. Step 2: Convert to fraction form
    2,697.79/4,043.94 = 2,047.16/x
  3. Step 3: Cross multiply
    2,697.79x = 4,043.94 × 2,047.16
  4. Step 4: Simplify right side
    2,697.79x = 8,278,592.21
  5. Step 5: Solve for x
    x = 8,278,592.21/2,697.79
  6. Step 6: Final answer
    x = 3,068.66

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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.