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Finding the Fourth Proportional to 2,697.26, 3,712.55 and 1,909.94

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Solution

The fourth proportional to 2,697.26, 3,712.55 and 1,909.94 is: 2,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.26 : 3,712.55 = 1,909.94 : x
  2. Step 2: Convert to fraction form
    2,697.26/3,712.55 = 1,909.94/x
  3. Step 3: Cross multiply
    2,697.26x = 3,712.55 × 1,909.94
  4. Step 4: Simplify right side
    2,697.26x = 7,090,719.63
  5. Step 5: Solve for x
    x = 7,090,719.63/2,697.26
  6. Step 6: Final answer
    x = 2,628.87

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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.