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Finding the Fourth Proportional to 2,536.99, 3,502.68 and 1,594.08

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Solution

The fourth proportional to 2,536.99, 3,502.68 and 1,594.08 is: 2,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.99 : 3,502.68 = 1,594.08 : x
  2. Step 2: Convert to fraction form
    2,536.99/3,502.68 = 1,594.08/x
  3. Step 3: Cross multiply
    2,536.99x = 3,502.68 × 1,594.08
  4. Step 4: Simplify right side
    2,536.99x = 5,583,546.16
  5. Step 5: Solve for x
    x = 5,583,546.16/2,536.99
  6. Step 6: Final answer
    x = 2,200.86

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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.