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Finding the Fourth Proportional to 3,302.63, 4,954.94 and 1,354.98

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Solution

The fourth proportional to 3,302.63, 4,954.94 and 1,354.98 is: 2,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.63 : 4,954.94 = 1,354.98 : x
  2. Step 2: Convert to fraction form
    3,302.63/4,954.94 = 1,354.98/x
  3. Step 3: Cross multiply
    3,302.63x = 4,954.94 × 1,354.98
  4. Step 4: Simplify right side
    3,302.63x = 6,713,844.60
  5. Step 5: Solve for x
    x = 6,713,844.60/3,302.63
  6. Step 6: Final answer
    x = 2,032.88

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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.