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Finding the Fourth Proportional to 2,613.84, 3,583.71 and 2,567.07

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Solution

The fourth proportional to 2,613.84, 3,583.71 and 2,567.07 is: 3,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.84 : 3,583.71 = 2,567.07 : x
  2. Step 2: Convert to fraction form
    2,613.84/3,583.71 = 2,567.07/x
  3. Step 3: Cross multiply
    2,613.84x = 3,583.71 × 2,567.07
  4. Step 4: Simplify right side
    2,613.84x = 9,199,634.43
  5. Step 5: Solve for x
    x = 9,199,634.43/2,613.84
  6. Step 6: Final answer
    x = 3,519.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.