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Finding the Fourth Proportional to 1,971.47, 2,720.82 and 1,087.46

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Solution

The fourth proportional to 1,971.47, 2,720.82 and 1,087.46 is: 1,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.47 : 2,720.82 = 1,087.46 : x
  2. Step 2: Convert to fraction form
    1,971.47/2,720.82 = 1,087.46/x
  3. Step 3: Cross multiply
    1,971.47x = 2,720.82 × 1,087.46
  4. Step 4: Simplify right side
    1,971.47x = 2,958,782.92
  5. Step 5: Solve for x
    x = 2,958,782.92/1,971.47
  6. Step 6: Final answer
    x = 1,500.80

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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.