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Finding the Fourth Proportional to 1,383.68, 2,076.56 and 943.89

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Solution

The fourth proportional to 1,383.68, 2,076.56 and 943.89 is: 1,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.68 : 2,076.56 = 943.89 : x
  2. Step 2: Convert to fraction form
    1,383.68/2,076.56 = 943.89/x
  3. Step 3: Cross multiply
    1,383.68x = 2,076.56 × 943.89
  4. Step 4: Simplify right side
    1,383.68x = 1,960,031.71
  5. Step 5: Solve for x
    x = 1,960,031.71/1,383.68
  6. Step 6: Final answer
    x = 1,416.54

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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.