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Finding the Fourth Proportional to 1,921.80, 2,883.08 and 751.76

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Solution

The fourth proportional to 1,921.80, 2,883.08 and 751.76 is: 1,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.80 : 2,883.08 = 751.76 : x
  2. Step 2: Convert to fraction form
    1,921.80/2,883.08 = 751.76/x
  3. Step 3: Cross multiply
    1,921.80x = 2,883.08 × 751.76
  4. Step 4: Simplify right side
    1,921.80x = 2,167,384.22
  5. Step 5: Solve for x
    x = 2,167,384.22/1,921.80
  6. Step 6: Final answer
    x = 1,127.79

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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.