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Finding the Fourth Proportional to 2,416.91, 3,625.37 and 773.57

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Solution

The fourth proportional to 2,416.91, 3,625.37 and 773.57 is: 1,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.91 : 3,625.37 = 773.57 : x
  2. Step 2: Convert to fraction form
    2,416.91/3,625.37 = 773.57/x
  3. Step 3: Cross multiply
    2,416.91x = 3,625.37 × 773.57
  4. Step 4: Simplify right side
    2,416.91x = 2,804,455.48
  5. Step 5: Solve for x
    x = 2,804,455.48/2,416.91
  6. Step 6: Final answer
    x = 1,160.35

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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.