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Finding the Fourth Proportional to 3,174.72, 4,763.33 and 2,298.32

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Solution

The fourth proportional to 3,174.72, 4,763.33 and 2,298.32 is: 3,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.72 : 4,763.33 = 2,298.32 : x
  2. Step 2: Convert to fraction form
    3,174.72/4,763.33 = 2,298.32/x
  3. Step 3: Cross multiply
    3,174.72x = 4,763.33 × 2,298.32
  4. Step 4: Simplify right side
    3,174.72x = 10,947,657.02
  5. Step 5: Solve for x
    x = 10,947,657.02/3,174.72
  6. Step 6: Final answer
    x = 3,448.39

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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.