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Finding the Fourth Proportional to 2,163.78, 2,988.56 and 1,576.94

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Solution

The fourth proportional to 2,163.78, 2,988.56 and 1,576.94 is: 2,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.78 : 2,988.56 = 1,576.94 : x
  2. Step 2: Convert to fraction form
    2,163.78/2,988.56 = 1,576.94/x
  3. Step 3: Cross multiply
    2,163.78x = 2,988.56 × 1,576.94
  4. Step 4: Simplify right side
    2,163.78x = 4,712,768.81
  5. Step 5: Solve for x
    x = 4,712,768.81/2,163.78
  6. Step 6: Final answer
    x = 2,178.03

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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.