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Finding the Fourth Proportional to 2,762.40, 4,141.12 and 1,945.92

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Solution

The fourth proportional to 2,762.40, 4,141.12 and 1,945.92 is: 2,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.40 : 4,141.12 = 1,945.92 : x
  2. Step 2: Convert to fraction form
    2,762.40/4,141.12 = 1,945.92/x
  3. Step 3: Cross multiply
    2,762.40x = 4,141.12 × 1,945.92
  4. Step 4: Simplify right side
    2,762.40x = 8,058,288.23
  5. Step 5: Solve for x
    x = 8,058,288.23/2,762.40
  6. Step 6: Final answer
    x = 2,917.13

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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.