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Finding the Fourth Proportional to 2,473.94, 3,716.72 and 2,333.84

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Solution

The fourth proportional to 2,473.94, 3,716.72 and 2,333.84 is: 3,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.94 : 3,716.72 = 2,333.84 : x
  2. Step 2: Convert to fraction form
    2,473.94/3,716.72 = 2,333.84/x
  3. Step 3: Cross multiply
    2,473.94x = 3,716.72 × 2,333.84
  4. Step 4: Simplify right side
    2,473.94x = 8,674,208.30
  5. Step 5: Solve for x
    x = 8,674,208.30/2,473.94
  6. Step 6: Final answer
    x = 3,506.23

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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.