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Finding the Fourth Proportional to 1,953.24, 2,930.24 and 654.72

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Solution

The fourth proportional to 1,953.24, 2,930.24 and 654.72 is: 982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.24 : 2,930.24 = 654.72 : x
  2. Step 2: Convert to fraction form
    1,953.24/2,930.24 = 654.72/x
  3. Step 3: Cross multiply
    1,953.24x = 2,930.24 × 654.72
  4. Step 4: Simplify right side
    1,953.24x = 1,918,486.73
  5. Step 5: Solve for x
    x = 1,918,486.73/1,953.24
  6. Step 6: Final answer
    x = 982.21

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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.