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Finding the Fourth Proportional to 1,576.54, 2,174.96 and 947.08

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Solution

The fourth proportional to 1,576.54, 2,174.96 and 947.08 is: 1,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.54 : 2,174.96 = 947.08 : x
  2. Step 2: Convert to fraction form
    1,576.54/2,174.96 = 947.08/x
  3. Step 3: Cross multiply
    1,576.54x = 2,174.96 × 947.08
  4. Step 4: Simplify right side
    1,576.54x = 2,059,861.12
  5. Step 5: Solve for x
    x = 2,059,861.12/1,576.54
  6. Step 6: Final answer
    x = 1,306.57

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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.