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Finding the Fourth Proportional to 1,981, 2,735.22 and 1,457.80

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Solution

The fourth proportional to 1,981, 2,735.22 and 1,457.80 is: 2,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981 : 2,735.22 = 1,457.80 : x
  2. Step 2: Convert to fraction form
    1,981/2,735.22 = 1,457.80/x
  3. Step 3: Cross multiply
    1,981x = 2,735.22 × 1,457.80
  4. Step 4: Simplify right side
    1,981x = 3,987,403.72
  5. Step 5: Solve for x
    x = 3,987,403.72/1,981
  6. Step 6: Final answer
    x = 2,012.82

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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.