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Finding the Fourth Proportional to 2,416.84, 3,631.02 and 1,391.56

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Solution

The fourth proportional to 2,416.84, 3,631.02 and 1,391.56 is: 2,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.84 : 3,631.02 = 1,391.56 : x
  2. Step 2: Convert to fraction form
    2,416.84/3,631.02 = 1,391.56/x
  3. Step 3: Cross multiply
    2,416.84x = 3,631.02 × 1,391.56
  4. Step 4: Simplify right side
    2,416.84x = 5,052,782.19
  5. Step 5: Solve for x
    x = 5,052,782.19/2,416.84
  6. Step 6: Final answer
    x = 2,090.66

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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.