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Finding the Fourth Proportional to 2,896.51, 3,996.93 and 1,637.67

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Solution

The fourth proportional to 2,896.51, 3,996.93 and 1,637.67 is: 2,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.51 : 3,996.93 = 1,637.67 : x
  2. Step 2: Convert to fraction form
    2,896.51/3,996.93 = 1,637.67/x
  3. Step 3: Cross multiply
    2,896.51x = 3,996.93 × 1,637.67
  4. Step 4: Simplify right side
    2,896.51x = 6,545,652.35
  5. Step 5: Solve for x
    x = 6,545,652.35/2,896.51
  6. Step 6: Final answer
    x = 2,259.84

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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.