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Finding the Fourth Proportional to 1,750.99, 2,416.36 and 965.04

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Solution

The fourth proportional to 1,750.99, 2,416.36 and 965.04 is: 1,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.99 : 2,416.36 = 965.04 : x
  2. Step 2: Convert to fraction form
    1,750.99/2,416.36 = 965.04/x
  3. Step 3: Cross multiply
    1,750.99x = 2,416.36 × 965.04
  4. Step 4: Simplify right side
    1,750.99x = 2,331,884.05
  5. Step 5: Solve for x
    x = 2,331,884.05/1,750.99
  6. Step 6: Final answer
    x = 1,331.75

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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.