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Finding the Fourth Proportional to 1,765.40, 2,428.80 and 1,716.80

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Solution

The fourth proportional to 1,765.40, 2,428.80 and 1,716.80 is: 2,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.40 : 2,428.80 = 1,716.80 : x
  2. Step 2: Convert to fraction form
    1,765.40/2,428.80 = 1,716.80/x
  3. Step 3: Cross multiply
    1,765.40x = 2,428.80 × 1,716.80
  4. Step 4: Simplify right side
    1,765.40x = 4,169,763.84
  5. Step 5: Solve for x
    x = 4,169,763.84/1,765.40
  6. Step 6: Final answer
    x = 2,361.94

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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.