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Finding the Fourth Proportional to 1,733.72, 2,604.15 and 1,658.86

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Solution

The fourth proportional to 1,733.72, 2,604.15 and 1,658.86 is: 2,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.72 : 2,604.15 = 1,658.86 : x
  2. Step 2: Convert to fraction form
    1,733.72/2,604.15 = 1,658.86/x
  3. Step 3: Cross multiply
    1,733.72x = 2,604.15 × 1,658.86
  4. Step 4: Simplify right side
    1,733.72x = 4,319,913.76
  5. Step 5: Solve for x
    x = 4,319,913.76/1,733.72
  6. Step 6: Final answer
    x = 2,491.71

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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.