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Finding the Fourth Proportional to 4,902.70, 7,354.05 and 1,204.93

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Solution

The fourth proportional to 4,902.70, 7,354.05 and 1,204.93 is: 1,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.70 : 7,354.05 = 1,204.93 : x
  2. Step 2: Convert to fraction form
    4,902.70/7,354.05 = 1,204.93/x
  3. Step 3: Cross multiply
    4,902.70x = 7,354.05 × 1,204.93
  4. Step 4: Simplify right side
    4,902.70x = 8,861,115.47
  5. Step 5: Solve for x
    x = 8,861,115.47/4,902.70
  6. Step 6: Final answer
    x = 1,807.40

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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.