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Finding the Fourth Proportional to 2,635.97, 3,637.98 and 1,457.01

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Solution

The fourth proportional to 2,635.97, 3,637.98 and 1,457.01 is: 2,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.97 : 3,637.98 = 1,457.01 : x
  2. Step 2: Convert to fraction form
    2,635.97/3,637.98 = 1,457.01/x
  3. Step 3: Cross multiply
    2,635.97x = 3,637.98 × 1,457.01
  4. Step 4: Simplify right side
    2,635.97x = 5,300,573.24
  5. Step 5: Solve for x
    x = 5,300,573.24/2,635.97
  6. Step 6: Final answer
    x = 2,010.87

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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.