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Finding the Fourth Proportional to 1,576.50, 2,176.11 and 955.50

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Solution

The fourth proportional to 1,576.50, 2,176.11 and 955.50 is: 1,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.50 : 2,176.11 = 955.50 : x
  2. Step 2: Convert to fraction form
    1,576.50/2,176.11 = 955.50/x
  3. Step 3: Cross multiply
    1,576.50x = 2,176.11 × 955.50
  4. Step 4: Simplify right side
    1,576.50x = 2,079,273.11
  5. Step 5: Solve for x
    x = 2,079,273.11/1,576.50
  6. Step 6: Final answer
    x = 1,318.92

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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.