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Finding the Fourth Proportional to 2,477.94, 3,722.72 and 2,337.84

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Solution

The fourth proportional to 2,477.94, 3,722.72 and 2,337.84 is: 3,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.94 : 3,722.72 = 2,337.84 : x
  2. Step 2: Convert to fraction form
    2,477.94/3,722.72 = 2,337.84/x
  3. Step 3: Cross multiply
    2,477.94x = 3,722.72 × 2,337.84
  4. Step 4: Simplify right side
    2,477.94x = 8,703,123.72
  5. Step 5: Solve for x
    x = 8,703,123.72/2,477.94
  6. Step 6: Final answer
    x = 3,512.24

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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.