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Finding the Fourth Proportional to 1,749.94, 2,625.82 and 775.81

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Solution

The fourth proportional to 1,749.94, 2,625.82 and 775.81 is: 1,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.94 : 2,625.82 = 775.81 : x
  2. Step 2: Convert to fraction form
    1,749.94/2,625.82 = 775.81/x
  3. Step 3: Cross multiply
    1,749.94x = 2,625.82 × 775.81
  4. Step 4: Simplify right side
    1,749.94x = 2,037,137.41
  5. Step 5: Solve for x
    x = 2,037,137.41/1,749.94
  6. Step 6: Final answer
    x = 1,164.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.