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Finding the Fourth Proportional to 1,750.97, 2,416.20 and 965.03

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Solution

The fourth proportional to 1,750.97, 2,416.20 and 965.03 is: 1,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.97 : 2,416.20 = 965.03 : x
  2. Step 2: Convert to fraction form
    1,750.97/2,416.20 = 965.03/x
  3. Step 3: Cross multiply
    1,750.97x = 2,416.20 × 965.03
  4. Step 4: Simplify right side
    1,750.97x = 2,331,693.41
  5. Step 5: Solve for x
    x = 2,331,693.41/1,750.97
  6. Step 6: Final answer
    x = 1,331.66

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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.