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Finding the Fourth Proportional to 2,564.99, 3,538.74 and 1,967.59

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Solution

The fourth proportional to 2,564.99, 3,538.74 and 1,967.59 is: 2,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.99 : 3,538.74 = 1,967.59 : x
  2. Step 2: Convert to fraction form
    2,564.99/3,538.74 = 1,967.59/x
  3. Step 3: Cross multiply
    2,564.99x = 3,538.74 × 1,967.59
  4. Step 4: Simplify right side
    2,564.99x = 6,962,789.44
  5. Step 5: Solve for x
    x = 6,962,789.44/2,564.99
  6. Step 6: Final answer
    x = 2,714.55

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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.