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Finding the Fourth Proportional to 1,953.33, 2,929.67 and 654.79

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Solution

The fourth proportional to 1,953.33, 2,929.67 and 654.79 is: 982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.33 : 2,929.67 = 654.79 : x
  2. Step 2: Convert to fraction form
    1,953.33/2,929.67 = 654.79/x
  3. Step 3: Cross multiply
    1,953.33x = 2,929.67 × 654.79
  4. Step 4: Simplify right side
    1,953.33x = 1,918,318.62
  5. Step 5: Solve for x
    x = 1,918,318.62/1,953.33
  6. Step 6: Final answer
    x = 982.08

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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.