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Finding the Fourth Proportional to 2,963.96, 4,090.29 and 1,637.68

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Solution

The fourth proportional to 2,963.96, 4,090.29 and 1,637.68 is: 2,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.96 : 4,090.29 = 1,637.68 : x
  2. Step 2: Convert to fraction form
    2,963.96/4,090.29 = 1,637.68/x
  3. Step 3: Cross multiply
    2,963.96x = 4,090.29 × 1,637.68
  4. Step 4: Simplify right side
    2,963.96x = 6,698,586.13
  5. Step 5: Solve for x
    x = 6,698,586.13/2,963.96
  6. Step 6: Final answer
    x = 2,260.01

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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.