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Finding the Fourth Proportional to 3,174.88, 4,762.29 and 1,225.72

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Solution

The fourth proportional to 3,174.88, 4,762.29 and 1,225.72 is: 1,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.88 : 4,762.29 = 1,225.72 : x
  2. Step 2: Convert to fraction form
    3,174.88/4,762.29 = 1,225.72/x
  3. Step 3: Cross multiply
    3,174.88x = 4,762.29 × 1,225.72
  4. Step 4: Simplify right side
    3,174.88x = 5,837,234.10
  5. Step 5: Solve for x
    x = 5,837,234.10/3,174.88
  6. Step 6: Final answer
    x = 1,838.57

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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.