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Finding the Fourth Proportional to 4,804.84, 7,202.87 and 1,683.15

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Solution

The fourth proportional to 4,804.84, 7,202.87 and 1,683.15 is: 2,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.84 : 7,202.87 = 1,683.15 : x
  2. Step 2: Convert to fraction form
    4,804.84/7,202.87 = 1,683.15/x
  3. Step 3: Cross multiply
    4,804.84x = 7,202.87 × 1,683.15
  4. Step 4: Simplify right side
    4,804.84x = 12,123,490.99
  5. Step 5: Solve for x
    x = 12,123,490.99/4,804.84
  6. Step 6: Final answer
    x = 2,523.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.