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Finding the Fourth Proportional to 1,745.87, 2,619.66 and 821.39

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Solution

The fourth proportional to 1,745.87, 2,619.66 and 821.39 is: 1,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.87 : 2,619.66 = 821.39 : x
  2. Step 2: Convert to fraction form
    1,745.87/2,619.66 = 821.39/x
  3. Step 3: Cross multiply
    1,745.87x = 2,619.66 × 821.39
  4. Step 4: Simplify right side
    1,745.87x = 2,151,762.53
  5. Step 5: Solve for x
    x = 2,151,762.53/1,745.87
  6. Step 6: Final answer
    x = 1,232.49

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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.