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Finding the Fourth Proportional to 1,953.63, 2,930.31 and 654.93

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Solution

The fourth proportional to 1,953.63, 2,930.31 and 654.93 is: 982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.63 : 2,930.31 = 654.93 : x
  2. Step 2: Convert to fraction form
    1,953.63/2,930.31 = 654.93/x
  3. Step 3: Cross multiply
    1,953.63x = 2,930.31 × 654.93
  4. Step 4: Simplify right side
    1,953.63x = 1,919,147.93
  5. Step 5: Solve for x
    x = 1,919,147.93/1,953.63
  6. Step 6: Final answer
    x = 982.35

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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.