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Finding the Fourth Proportional to 1,953.69, 2,929.85 and 566.67

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Solution

The fourth proportional to 1,953.69, 2,929.85 and 566.67 is: 849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.69 : 2,929.85 = 566.67 : x
  2. Step 2: Convert to fraction form
    1,953.69/2,929.85 = 566.67/x
  3. Step 3: Cross multiply
    1,953.69x = 2,929.85 × 566.67
  4. Step 4: Simplify right side
    1,953.69x = 1,660,258.54
  5. Step 5: Solve for x
    x = 1,660,258.54/1,953.69
  6. Step 6: Final answer
    x = 849.80

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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.