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Finding the Fourth Proportional to 2,416.72, 3,625.04 and 773.24

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Solution

The fourth proportional to 2,416.72, 3,625.04 and 773.24 is: 1,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.72 : 3,625.04 = 773.24 : x
  2. Step 2: Convert to fraction form
    2,416.72/3,625.04 = 773.24/x
  3. Step 3: Cross multiply
    2,416.72x = 3,625.04 × 773.24
  4. Step 4: Simplify right side
    2,416.72x = 2,803,025.93
  5. Step 5: Solve for x
    x = 2,803,025.93/2,416.72
  6. Step 6: Final answer
    x = 1,159.85

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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.