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Finding the Fourth Proportional to 3,354.93, 4,630.45 and 2,142.83

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Solution

The fourth proportional to 3,354.93, 4,630.45 and 2,142.83 is: 2,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.93 : 4,630.45 = 2,142.83 : x
  2. Step 2: Convert to fraction form
    3,354.93/4,630.45 = 2,142.83/x
  3. Step 3: Cross multiply
    3,354.93x = 4,630.45 × 2,142.83
  4. Step 4: Simplify right side
    3,354.93x = 9,922,260.95
  5. Step 5: Solve for x
    x = 9,922,260.95/3,354.93
  6. Step 6: Final answer
    x = 2,957.52

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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.