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Finding the Fourth Proportional to 1,677.54, 2,516.31 and 947.73

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Solution

The fourth proportional to 1,677.54, 2,516.31 and 947.73 is: 1,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.54 : 2,516.31 = 947.73 : x
  2. Step 2: Convert to fraction form
    1,677.54/2,516.31 = 947.73/x
  3. Step 3: Cross multiply
    1,677.54x = 2,516.31 × 947.73
  4. Step 4: Simplify right side
    1,677.54x = 2,384,782.48
  5. Step 5: Solve for x
    x = 2,384,782.48/1,677.54
  6. Step 6: Final answer
    x = 1,421.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.