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Finding the Fourth Proportional to 1,750.90, 2,416.44 and 965.02

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Solution

The fourth proportional to 1,750.90, 2,416.44 and 965.02 is: 1,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.90 : 2,416.44 = 965.02 : x
  2. Step 2: Convert to fraction form
    1,750.90/2,416.44 = 965.02/x
  3. Step 3: Cross multiply
    1,750.90x = 2,416.44 × 965.02
  4. Step 4: Simplify right side
    1,750.90x = 2,331,912.93
  5. Step 5: Solve for x
    x = 2,331,912.93/1,750.90
  6. Step 6: Final answer
    x = 1,331.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.