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Finding the Fourth Proportional to 2,613.76, 3,607.78 and 1,682.26

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Solution

The fourth proportional to 2,613.76, 3,607.78 and 1,682.26 is: 2,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.76 : 3,607.78 = 1,682.26 : x
  2. Step 2: Convert to fraction form
    2,613.76/3,607.78 = 1,682.26/x
  3. Step 3: Cross multiply
    2,613.76x = 3,607.78 × 1,682.26
  4. Step 4: Simplify right side
    2,613.76x = 6,069,223.98
  5. Step 5: Solve for x
    x = 6,069,223.98/2,613.76
  6. Step 6: Final answer
    x = 2,322.03

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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.