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Finding the Fourth Proportional to 1,611.19, 2,417.09 and 745.50

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Solution

The fourth proportional to 1,611.19, 2,417.09 and 745.50 is: 1,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.19 : 2,417.09 = 745.50 : x
  2. Step 2: Convert to fraction form
    1,611.19/2,417.09 = 745.50/x
  3. Step 3: Cross multiply
    1,611.19x = 2,417.09 × 745.50
  4. Step 4: Simplify right side
    1,611.19x = 1,801,936.87
  5. Step 5: Solve for x
    x = 1,801,936.87/1,611.19
  6. Step 6: Final answer
    x = 1,118.39

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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.