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Finding the Fourth Proportional to 3,125.54, 4,312.49 and 1,945.77

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Solution

The fourth proportional to 3,125.54, 4,312.49 and 1,945.77 is: 2,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.54 : 4,312.49 = 1,945.77 : x
  2. Step 2: Convert to fraction form
    3,125.54/4,312.49 = 1,945.77/x
  3. Step 3: Cross multiply
    3,125.54x = 4,312.49 × 1,945.77
  4. Step 4: Simplify right side
    3,125.54x = 8,391,103.94
  5. Step 5: Solve for x
    x = 8,391,103.94/3,125.54
  6. Step 6: Final answer
    x = 2,684.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.