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Finding the Fourth Proportional to 1,610.94, 2,416.71 and 745.25

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Solution

The fourth proportional to 1,610.94, 2,416.71 and 745.25 is: 1,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.94 : 2,416.71 = 745.25 : x
  2. Step 2: Convert to fraction form
    1,610.94/2,416.71 = 745.25/x
  3. Step 3: Cross multiply
    1,610.94x = 2,416.71 × 745.25
  4. Step 4: Simplify right side
    1,610.94x = 1,801,053.13
  5. Step 5: Solve for x
    x = 1,801,053.13/1,610.94
  6. Step 6: Final answer
    x = 1,118.01

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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.