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Finding the Fourth Proportional to 3,374.13, 4,658.81 and 2,049.63

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Solution

The fourth proportional to 3,374.13, 4,658.81 and 2,049.63 is: 2,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.13 : 4,658.81 = 2,049.63 : x
  2. Step 2: Convert to fraction form
    3,374.13/4,658.81 = 2,049.63/x
  3. Step 3: Cross multiply
    3,374.13x = 4,658.81 × 2,049.63
  4. Step 4: Simplify right side
    3,374.13x = 9,548,836.74
  5. Step 5: Solve for x
    x = 9,548,836.74/3,374.13
  6. Step 6: Final answer
    x = 2,830.01

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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.