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Finding the Fourth Proportional to 2,902.84, 4,354.56 and 954.59

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Solution

The fourth proportional to 2,902.84, 4,354.56 and 954.59 is: 1,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.84 : 4,354.56 = 954.59 : x
  2. Step 2: Convert to fraction form
    2,902.84/4,354.56 = 954.59/x
  3. Step 3: Cross multiply
    2,902.84x = 4,354.56 × 954.59
  4. Step 4: Simplify right side
    2,902.84x = 4,156,797.66
  5. Step 5: Solve for x
    x = 4,156,797.66/2,902.84
  6. Step 6: Final answer
    x = 1,431.98

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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.