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Finding the Fourth Proportional to 2,416.76, 3,625.11 and 955.91

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Solution

The fourth proportional to 2,416.76, 3,625.11 and 955.91 is: 1,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.76 : 3,625.11 = 955.91 : x
  2. Step 2: Convert to fraction form
    2,416.76/3,625.11 = 955.91/x
  3. Step 3: Cross multiply
    2,416.76x = 3,625.11 × 955.91
  4. Step 4: Simplify right side
    2,416.76x = 3,465,260.77
  5. Step 5: Solve for x
    x = 3,465,260.77/2,416.76
  6. Step 6: Final answer
    x = 1,433.84

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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.