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Finding the Fourth Proportional to 2,681.80, 4,023.26 and 951.56

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Solution

The fourth proportional to 2,681.80, 4,023.26 and 951.56 is: 1,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.80 : 4,023.26 = 951.56 : x
  2. Step 2: Convert to fraction form
    2,681.80/4,023.26 = 951.56/x
  3. Step 3: Cross multiply
    2,681.80x = 4,023.26 × 951.56
  4. Step 4: Simplify right side
    2,681.80x = 3,828,373.29
  5. Step 5: Solve for x
    x = 3,828,373.29/2,681.80
  6. Step 6: Final answer
    x = 1,427.54

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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.