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Finding the Fourth Proportional to 3,465.94, 4,782.54 and 2,049.40

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Solution

The fourth proportional to 3,465.94, 4,782.54 and 2,049.40 is: 2,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.94 : 4,782.54 = 2,049.40 : x
  2. Step 2: Convert to fraction form
    3,465.94/4,782.54 = 2,049.40/x
  3. Step 3: Cross multiply
    3,465.94x = 4,782.54 × 2,049.40
  4. Step 4: Simplify right side
    3,465.94x = 9,801,351.14
  5. Step 5: Solve for x
    x = 9,801,351.14/3,465.94
  6. Step 6: Final answer
    x = 2,827.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.