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Finding the Fourth Proportional to 3,094.87, 4,271.15 and 1,697.65

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Solution

The fourth proportional to 3,094.87, 4,271.15 and 1,697.65 is: 2,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.87 : 4,271.15 = 1,697.65 : x
  2. Step 2: Convert to fraction form
    3,094.87/4,271.15 = 1,697.65/x
  3. Step 3: Cross multiply
    3,094.87x = 4,271.15 × 1,697.65
  4. Step 4: Simplify right side
    3,094.87x = 7,250,909.31
  5. Step 5: Solve for x
    x = 7,250,909.31/3,094.87
  6. Step 6: Final answer
    x = 2,342.88

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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.