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Finding the Fourth Proportional to 2,416.77, 3,625.47 and 773.82

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Solution

The fourth proportional to 2,416.77, 3,625.47 and 773.82 is: 1,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.77 : 3,625.47 = 773.82 : x
  2. Step 2: Convert to fraction form
    2,416.77/3,625.47 = 773.82/x
  3. Step 3: Cross multiply
    2,416.77x = 3,625.47 × 773.82
  4. Step 4: Simplify right side
    2,416.77x = 2,805,461.20
  5. Step 5: Solve for x
    x = 2,805,461.20/2,416.77
  6. Step 6: Final answer
    x = 1,160.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.